2532907618640 has 80 divisors (see below), whose sum is σ = 6774869118720. Its totient is φ = 862674278400.

The previous prime is 2532907618621. The next prime is 2532907618693. The reversal of 2532907618640 is 468167092352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14892425 + ... + 15061544.

It is an arithmetic number, because the mean of its divisors is an integer number (84685863984).

It is a 1-persistent number, because it is pandigital, but 2⋅2532907618640 = 5065815237280 is not.

Almost surely, 2^{2532907618640} is an apocalyptic number.

2532907618640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532907618640 is an abundant number, since it is smaller than the sum of its proper divisors (4241961500080).

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

2532907618640 is a wasteful number, since it uses less digits than its factorization.

2532907618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29954140 (or 29954134 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 2532907618640 in words is "two trillion, five hundred thirty-two billion, nine hundred seven million, six hundred eighteen thousand, six hundred forty".