2004640266864 has 80 divisors (see below), whose sum is σ = 5319936378272. Its totient is φ = 649992397824.

The previous prime is 2004640266809. The next prime is 2004640266977. The reversal of 2004640266864 is 4686620464002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7131282 + ... + 7407054.

Almost surely, 2^{2004640266864} is an apocalyptic number.

2004640266864 is a gapful number since it is divisible by the number (24) 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 2004640266864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659968189136).

2004640266864 is an abundant number, since it is smaller than the sum of its proper divisors (3315296111408).

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

2004640266864 is a wasteful number, since it uses less digits than its factorization.

2004640266864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279914 (or 279908 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 2004640266864 in words is "two trillion, four billion, six hundred forty million, two hundred sixty-six thousand, eight hundred sixty-four".