2539625840640 has 680 divisors, whose sum is σ = 10406429230560. Its totient is φ = 580443439104.

The previous prime is 2539625840629. The next prime is 2539625840657. The reversal of 2539625840640 is 460485269352.

2539625840640 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 625 + 8 + 4 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185787726 + ... + 185801394.

Almost surely, 2^{2539625840640} is an apocalyptic number.

2539625840640 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 2539625840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203214615280).

2539625840640 is an abundant number, since it is smaller than the sum of its proper divisors (7866803389920).

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

2539625840640 is an frugal number, since it uses more digits than its factorization.

2539625840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2539625840640 in words is "two trillion, five hundred thirty-nine billion, six hundred twenty-five million, eight hundred forty thousand, six hundred forty".