2664002678400 has 432 divisors, whose sum is σ = 11057740699590. Its totient is φ = 608914575360.

The previous prime is 2664002678399. The next prime is 2664002678413. The reversal of 2664002678400 is 48762004662.

It can be written as a sum of positive squares in 3 ways, for example, as 1871489664576 + 792513013824 = 1368024^2 + 890232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 467322 + ... + 2355078.

Almost surely, 2^{2664002678400} is an apocalyptic number.

2664002678400 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 2664002678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528870349795).

2664002678400 is an abundant number, since it is smaller than the sum of its proper divisors (8393738021190).

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

2664002678400 is a wasteful number, since it uses less digits than its factorization.

2664002678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887801 (or 1887774 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2664002678400 in words is "two trillion, six hundred sixty-four billion, two million, six hundred seventy-eight thousand, four hundred".