2551641040 has 40 divisors (see below), whose sum is σ = 6388919208. Its totient is φ = 942144000.

The previous prime is 2551641019. The next prime is 2551641047. The reversal of 2551641040 is 401461552.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 2506804624 = 6696^2 + 50068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551641047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225711 + ... + 1227790.

Almost surely, 2^2551641040 is an apocalyptic number.

2551641040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551641040 is an abundant number, since it is smaller than the sum of its proper divisors (3837278168).

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

2551641040 is a wasteful number, since it uses less digits than its factorization.

2551641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453527 (or 2453521 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2551641040 is about 50513.7707956949. The cubic root of 2551641040 is about 1366.4902150405.

The spelling of 2551641040 in words is "two billion, five hundred fifty-one million, six hundred forty-one thousand, forty".