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2542655984 = 241137557701
BaseRepresentation
bin1001011110001101…
…1101100111110000
320120012110022021212
42113203131213300
520201404442414
61100145535252
7120003135131
oct22743354760
96505408255
102542655984
111095299090
125ab644528
13316a15b8b
141a1995c88
15ed35483e
hex978dd9f0

2542655984 has 80 divisors (see below), whose sum is σ = 5537297376. Its totient is φ = 1120896000.

The previous prime is 2542655933. The next prime is 2542655987. The reversal of 2542655984 is 4895562452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542655987) 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, 3626834 + ... + 3627534.

Almost surely, 22542655984 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 2542655984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768648688).

2542655984 is an abundant number, since it is smaller than the sum of its proper divisors (2994641392).

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

2542655984 is a wasteful number, since it uses less digits than its factorization.

2542655984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 50.

The square root of 2542655984 is about 50424.7556662400. The cubic root of 2542655984 is about 1364.8843947588.

The spelling of 2542655984 in words is "two billion, five hundred forty-two million, six hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 557 592 701 814 1114 1402 1628 2228 2804 3256 4456 5608 6127 6512 7711 8912 11216 12254 15422 20609 24508 25937 30844 41218 49016 51874 61688 82436 98032 103748 123376 164872 207496 226699 285307 329744 390457 414992 453398 570614 780914 906796 1141228 1561828 1813592 2282456 3123656 3627184 4295027 4564912 6247312 8590054 14446909 17180108 28893818 34360216 57787636 68720432 115575272 158915999 231150544 317831998 635663996 1271327992 2542655984