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2500741344 = 253175692693
BaseRepresentation
bin1001010100001110…
…0100100011100000
320110021120211012210
42111003210203200
520110142210334
61052051322120
7115653644043
oct22503444340
96407524183
102500741344
11107366aa92
125995b0340
1330b12ba0a
1419a1a4c5a
15e98255e9
hex950e48e0

2500741344 has 96 divisors (see below), whose sum is σ = 6965390880. Its totient is φ = 782876672.

The previous prime is 2500741343. The next prime is 2500741381. The reversal of 2500741344 is 4431470052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500741343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927262 + ... + 929954.

It is an arithmetic number, because the mean of its divisors is an integer number (72556155).

Almost surely, 22500741344 is an apocalyptic number.

2500741344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482695440).

2500741344 is an abundant number, since it is smaller than the sum of its proper divisors (4464649536).

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

2500741344 is a wasteful number, since it uses less digits than its factorization.

2500741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2500741344 is about 50007.4128904905. The cubic root of 2500741344 is about 1357.3429495199.

The spelling of 2500741344 in words is "two billion, five hundred million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 569 816 1138 1632 1707 2276 2693 3414 4552 5386 6828 8079 9104 9673 10772 13656 16158 18208 19346 21544 27312 29019 32316 38692 43088 45781 54624 58038 64632 77384 86176 91562 116076 129264 137343 154768 183124 232152 258528 274686 309536 366248 464304 549372 732496 928608 1098744 1464992 1532317 2197488 3064634 4394976 4596951 6129268 9193902 12258536 18387804 24517072 26049389 36775608 49034144 52098778 73551216 78148167 104197556 147102432 156296334 208395112 312592668 416790224 625185336 833580448 1250370672 2500741344