2506902531840 has 1728 divisors, whose sum is σ = 10703822976000. Its totient is φ = 553649209344.

The previous prime is 2506902531799. The next prime is 2506902531841. The reversal of 2506902531840 is 481352096052.

2506902531840 is a `hidden beast` number, since 2 + 50 + 69 + 0 + 2 + 531 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506902531841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12597500061 + ... + 12597500259.

It is an arithmetic number, because the mean of its divisors is an integer number (6194342000).

Almost surely, 2^{2506902531840} is an apocalyptic number.

2506902531840 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 2506902531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351911488000).

2506902531840 is an abundant number, since it is smaller than the sum of its proper divisors (8196920444160).

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

2506902531840 is a wasteful number, since it uses less digits than its factorization.

2506902531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2506902531840 in words is "two trillion, five hundred six billion, nine hundred two million, five hundred thirty-one thousand, eight hundred forty".