2465252640 has 72 divisors (see below), whose sum is σ = 8412679548. Its totient is φ = 657400320.

The previous prime is 2465252627. The next prime is 2465252689. The reversal of 2465252640 is 462525642.

2465252640 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 2 + 5 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2464526736 + 725904 = 49644^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2465252595 and 2465252604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854551 + ... + 857430.

Almost surely, 2^2465252640 is an apocalyptic number.

2465252640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2465252640 is an abundant number, since it is smaller than the sum of its proper divisors (5947426908).

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

2465252640 is a wasteful number, since it uses less digits than its factorization.

2465252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712002 (or 1711991 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2465252640 is about 49651.3105567215. The cubic root of 2465252640 is about 1350.8915263418.

The spelling of 2465252640 in words is "two billion, four hundred sixty-five million, two hundred fifty-two thousand, six hundred forty".