2526972006480 has 160 divisors (see below), whose sum is σ = 8001355737600. Its totient is φ = 659433578496.

The previous prime is 2526972006473. The next prime is 2526972006509. The reversal of 2526972006480 is 846002796252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162300136 + ... + 162315704.

It is an arithmetic number, because the mean of its divisors is an integer number (50008473360).

Almost surely, 2^{2526972006480} is an apocalyptic number.

2526972006480 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 2526972006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000677868800).

2526972006480 is an abundant number, since it is smaller than the sum of its proper divisors (5474383731120).

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

2526972006480 is a wasteful number, since it uses less digits than its factorization.

2526972006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30021 (or 30015 counting only the distinct ones).

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

The spelling of 2526972006480 in words is "two trillion, five hundred twenty-six billion, nine hundred seventy-two million, six thousand, four hundred eighty".