2004658632 has 96 divisors (see below), whose sum is σ = 5961664800. Its totient is φ = 628902144.

The previous prime is 2004658619. The next prime is 2004658651. The reversal of 2004658632 is 2368564002.

2004658632 is a `hidden beast` number, since 2 + 0 + 0 + 46 + 586 + 32 = 666.

It is a super-2 number, since 2×2004658632² = 8037312461704222848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 63377.

It is an arithmetic number, because the mean of its divisors is an integer number (62100675).

Almost surely, 2^2004658632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004658632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980832400).

2004658632 is an abundant number, since it is smaller than the sum of its proper divisors (3957006168).

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

2004658632 is a wasteful number, since it uses less digits than its factorization.

2004658632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60697 (or 60681 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2004658632 is about 44773.4143437822. The cubic root of 2004658632 is about 1260.8985427441.

The spelling of 2004658632 in words is "two billion, four million, six hundred fifty-eight thousand, six hundred thirty-two".