2506614640 has 40 divisors (see below), whose sum is σ = 6170698800. Its totient is φ = 943666176.

The previous prime is 2506614629. The next prime is 2506614641. The reversal of 2506614640 is 464166052.

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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 2506614596 and 2506614605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506614641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920190 + ... + 922909.

It is an arithmetic number, because the mean of its divisors is an integer number (154267470).

Almost surely, 2^2506614640 is an apocalyptic number.

2506614640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506614640 is an abundant number, since it is smaller than the sum of its proper divisors (3664084160).

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

2506614640 is a wasteful number, since it uses less digits than its factorization.

2506614640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843129 (or 1843123 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2506614640 is about 50066.1027043248. The cubic root of 2506614640 is about 1358.4047471790.

The spelling of 2506614640 in words is "two billion, five hundred six million, six hundred fourteen thousand, six hundred forty".