2004762752160 has 768 divisors, whose sum is σ = 7636086743040. Its totient is φ = 432226713600.

The previous prime is 2004762752149. The next prime is 2004762752227. The reversal of 2004762752160 is 612572674002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3270412014 + ... + 3270412626.

It is an arithmetic number, because the mean of its divisors is an integer number (9942821280).

Almost surely, 2^{2004762752160} is an apocalyptic number.

2004762752160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004762752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818043371520).

2004762752160 is an abundant number, since it is smaller than the sum of its proper divisors (5631323990880).

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

2004762752160 is a wasteful number, since it uses less digits than its factorization.

2004762752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 2004762752160 in words is "two trillion, four billion, seven hundred sixty-two million, seven hundred fifty-two thousand, one hundred sixty".