2527931040 has 96 divisors (see below), whose sum is σ = 7970731776. Its totient is φ = 673459200.

The previous prime is 2527931039. The next prime is 2527931071. The reversal of 2527931040 is 401397252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2527930992 and 2527931010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681190 + ... + 684890.

It is an arithmetic number, because the mean of its divisors is an integer number (83028456).

Almost surely, 2^2527931040 is an apocalyptic number.

2527931040 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 2527931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985365888).

2527931040 is an abundant number, since it is smaller than the sum of its proper divisors (5442800736).

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

2527931040 is a wasteful number, since it uses less digits than its factorization.

2527931040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2527931040 is about 50278.5345848504. The cubic root of 2527931040 is about 1362.2445346587.

The spelling of 2527931040 in words is "two billion, five hundred twenty-seven million, nine hundred thirty-one thousand, forty".