2507527940 has 48 divisors (see below), whose sum is σ = 5396993280. Its totient is φ = 978332160.

The previous prime is 2507527937. The next prime is 2507527943. The reversal of 2507527940 is 497257052.

2507527940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2507527937) and next prime (2507527943).

It is not an unprimeable number, because it can be changed into a prime (2507527943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121580 + ... + 140700.

It is an arithmetic number, because the mean of its divisors is an integer number (112437360).

Almost surely, 2^2507527940 is an apocalyptic number.

2507527940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2507527940 is an abundant number, since it is smaller than the sum of its proper divisors (2889465340).

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

2507527940 is a wasteful number, since it uses less digits than its factorization.

2507527940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19292 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 2507527940 is about 50075.2228152806. Note that the first 3 decimals coincide. The cubic root of 2507527940 is about 1358.5697081040.

The spelling of 2507527940 in words is "two billion, five hundred seven million, five hundred twenty-seven thousand, nine hundred forty".