2551751904 has 48 divisors (see below), whose sum is σ = 7213609872. Its totient is φ = 785154048.

The previous prime is 2551751899. The next prime is 2551751941. The reversal of 2551751904 is 4091571552.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2551751904² = 13022875559135250432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1021089 + ... + 1023584.

It is an arithmetic number, because the mean of its divisors is an integer number (150283539).

Almost surely, 2^2551751904 is an apocalyptic number.

2551751904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2551751904 is an abundant number, since it is smaller than the sum of its proper divisors (4661857968).

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

2551751904 is a wasteful number, since it uses less digits than its factorization.

2551751904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044699 (or 2044691 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 2551751904 is about 50514.8681479028. The cubic root of 2551751904 is about 1366.5100052298.

It can be divided in two parts, 25517 and 51904, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 2551751904 in words is "two billion, five hundred fifty-one million, seven hundred fifty-one thousand, nine hundred four".