2527967870480 has 40 divisors (see below), whose sum is σ = 6329642632152. Its totient is φ = 933403521024.

The previous prime is 2527967870479. The next prime is 2527967870501. The reversal of 2527967870480 is 840787697252.

It can be written as a sum of positive squares in 4 ways, for example, as 34651077904 + 2493316792576 = 186148^2 + 1579024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (65).

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 7 ways as a sum of consecutive naturals, for example, 1215368129 + ... + 1215370208.

Almost surely, 2^{2527967870480} is an apocalyptic number.

2527967870480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2527967870480 is an abundant number, since it is smaller than the sum of its proper divisors (3801674761672).

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

2527967870480 is a wasteful number, since it uses less digits than its factorization.

2527967870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430738363 (or 2430738357 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 65.

The spelling of 2527967870480 in words is "two trillion, five hundred twenty-seven billion, nine hundred sixty-seven million, eight hundred seventy thousand, four hundred eighty".