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2520076896 = 253261672141
BaseRepresentation
bin1001011000110101…
…0101001001100000
320111121222011121100
42112031111021200
520130114430041
61054021554400
7116310204651
oct22615251140
96447864540
102520076896
111083577087
125a3b75a00
1331213b87c
1419c999528
15eb3946b6
hex96355260

2520076896 has 144 divisors (see below), whose sum is σ = 7396120368. Its totient is φ = 813542400.

The previous prime is 2520076891. The next prime is 2520076907. The reversal of 2520076896 is 6986700252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×25200768963 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520076891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175986 + ... + 1178126.

It is an arithmetic number, because the mean of its divisors is an integer number (51361947).

Almost surely, 22520076896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520076896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698060184).

2520076896 is an abundant number, since it is smaller than the sum of its proper divisors (4876043472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2520076896 is a wasteful number, since it uses less digits than its factorization.

2520076896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2520076896 is about 50200.3674886947. The cubic root of 2520076896 is about 1360.8322645173.

The spelling of 2520076896 in words is "two billion, five hundred twenty million, seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 67 72 96 122 134 144 183 201 244 268 288 366 402 488 536 549 603 732 804 976 1072 1098 1206 1464 1608 1952 2141 2144 2196 2412 2928 3216 4087 4282 4392 4824 5856 6423 6432 8174 8564 8784 9648 12261 12846 16348 17128 17568 19269 19296 24522 25692 32696 34256 36783 38538 49044 51384 65392 68512 73566 77076 98088 102768 130601 130784 143447 147132 154152 196176 205536 261202 286894 294264 308304 391803 392352 430341 522404 573788 588528 616608 783606 860682 1044808 1147576 1175409 1177056 1291023 1567212 1721364 2089616 2295152 2350818 2582046 3134424 3442728 4179232 4590304 4701636 5164092 6268848 6885456 8750267 9403272 10328184 12537696 13770912 17500534 18806544 20656368 26250801 35001068 37613088 41312736 52501602 70002136 78752403 105003204 140004272 157504806 210006408 280008544 315009612 420012816 630019224 840025632 1260038448 2520076896