2510652641 has 32 divisors (see below), whose sum is σ = 3066336000. Its totient is φ = 2052072960.

The previous prime is 2510652623. The next prime is 2510652673. The reversal of 2510652641 is 1462560152.

It is not a de Polignac number, because 2510652641 - 2¹⁴ = 2510636257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2510652598 and 2510652607.

It is not an unprimeable number, because it can be changed into a prime (2510652541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824081 + ... + 827121.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 2^2510652641 is an apocalyptic number.

It is an amenable number.

2510652641 is a deficient number, since it is larger than the sum of its proper divisors (555683359).

2510652641 is an equidigital number, since it uses as much as digits as its factorization.

2510652641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2510652641 is about 50106.4131723675. The cubic root of 2510652641 is about 1359.1337911537.

The spelling of 2510652641 in words is "two billion, five hundred ten million, six hundred fifty-two thousand, six hundred forty-one".