2604761632 has 48 divisors (see below), whose sum is σ = 5598470304. Its totient is φ = 1183104000.

The previous prime is 2604761629. The next prime is 2604761633. The reversal of 2604761632 is 2361674062.

It is a junction number, because it is equal to n+sod(n) for n = 2604761591 and 2604761600.

It is not an unprimeable number, because it can be changed into a prime (2604761633) 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, 833032 + ... + 836152.

It is an arithmetic number, because the mean of its divisors is an integer number (116634798).

Almost surely, 2^2604761632 is an apocalyptic number.

2604761632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2604761632 is an abundant number, since it is smaller than the sum of its proper divisors (2993708672).

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

2604761632 is a wasteful number, since it uses less digits than its factorization.

2604761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2604761632 is about 51036.8654209876. The cubic root of 2604761632 is about 1375.9077874477.

The spelling of 2604761632 in words is "two billion, six hundred four million, seven hundred sixty-one thousand, six hundred thirty-two".