2931725640480 has 1152 divisors, whose sum is σ = 12299024924928. Its totient is φ = 579827662848.

The previous prime is 2931725640479. The next prime is 2931725640517. The reversal of 2931725640480 is 840465271392.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1471010364 + ... + 1471012356.

It is an arithmetic number, because the mean of its divisors is an integer number (10676236914).

It is a 1-persistent number, because it is pandigital, but 2⋅2931725640480 = 5863451280960 is not.

Almost surely, 2^{2931725640480} is an apocalyptic number.

2931725640480 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 2931725640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149512462464).

2931725640480 is an abundant number, since it is smaller than the sum of its proper divisors (9367299284448).

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

2931725640480 is a wasteful number, since it uses less digits than its factorization.

2931725640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2931725640480 in words is "two trillion, nine hundred thirty-one billion, seven hundred twenty-five million, six hundred forty thousand, four hundred eighty".