2572962494340 has 384 divisors, whose sum is σ = 8731054080000. Its totient is φ = 565293980160.

The previous prime is 2572962494243. The next prime is 2572962494393. The reversal of 2572962494340 is 434942692752.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 95045487 + ... + 95072553.

It is an arithmetic number, because the mean of its divisors is an integer number (22737120000).

Almost surely, 2^{2572962494340} is an apocalyptic number.

2572962494340 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 2572962494340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365527040000).

2572962494340 is an abundant number, since it is smaller than the sum of its proper divisors (6158091585660).

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

2572962494340 is a wasteful number, since it uses less digits than its factorization.

2572962494340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27280 (or 27264 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 2572962494340 in words is "two trillion, five hundred seventy-two billion, nine hundred sixty-two million, four hundred ninety-four thousand, three hundred forty".