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2554990240 = 255113146829
BaseRepresentation
bin1001100001001010…
…0000111010100000
320121001122221201011
42120102200322200
520213034141430
61101310150304
7120213026065
oct23022407240
96531587634
102554990240
1110a1252a90
125b37b2394
1331944405a
141a3486c6c
15ee48e22a
hex984a0ea0

2554990240 has 96 divisors (see below), whose sum is σ = 6797468160. Its totient is φ = 899097600.

The previous prime is 2554990237. The next prime is 2554990247. The reversal of 2554990240 is 420994552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2554990193 and 2554990202.

It is not an unprimeable number, because it can be changed into a prime (2554990247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31146 + ... + 77974.

It is an arithmetic number, because the mean of its divisors is an integer number (70806960).

Almost surely, 22554990240 is an apocalyptic number.

2554990240 is a gapful number since it is divisible by the number (20) 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 2554990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398734080).

2554990240 is an abundant number, since it is smaller than the sum of its proper divisors (4242477920).

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

2554990240 is a wasteful number, since it uses less digits than its factorization.

2554990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46886 (or 46878 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2554990240 is about 50546.9112805125. The cubic root of 2554990240 is about 1367.0878236682.

The spelling of 2554990240 in words is "two billion, five hundred fifty-four million, nine hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 46829 54560 93658 187316 234145 374632 468290 515119 749264 936580 1030238 1451699 1498528 1873160 2060476 2575595 2903398 3746320 4120952 5151190 5806796 7258495 7492640 8241904 10302380 11613592 14516990 15968689 16483808 20604760 23227184 29033980 31937378 41209520 46454368 58067960 63874756 79843445 82419040 116135920 127749512 159686890 232271840 255499024 319373780 510998048 638747560 1277495120 2554990240