2576607642 has 24 divisors (see below), whose sum is σ = 6380171616. Its totient is φ = 736173576.

The previous prime is 2576607641. The next prime is 2576607643. The reversal of 2576607642 is 2467066752.

2576607642 is a `hidden beast` number, since 2 + 576 + 6 + 0 + 76 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2576607641) and next prime (2576607643).

It is not an unprimeable number, because it can be changed into a prime (2576607641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10224508 + ... + 10224759.

It is an arithmetic number, because the mean of its divisors is an integer number (265840484).

Almost surely, 2^2576607642 is an apocalyptic number.

2576607642 is an abundant number, since it is smaller than the sum of its proper divisors (3803563974).

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

2576607642 is a wasteful number, since it uses less digits than its factorization.

2576607642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449282 (or 20449279 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2576607642 is about 50760.2959211232. The cubic root of 2576607642 is about 1370.9325779593.

The spelling of 2576607642 in words is "two billion, five hundred seventy-six million, six hundred seven thousand, six hundred forty-two".