2684944416400 has 45 divisors (see below), whose sum is σ = 6450657695131. Its totient is φ = 1073964657920.

The previous prime is 2684944416377. The next prime is 2684944416443. The reversal of 2684944416400 is 46144494862.

It is a happy number.

The square root of 2684944416400 is 1638580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 494023425424 + 2190920990976 = 702868^2 + 1480176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32730636 + ... + 32812564.

Almost surely, 2^{2684944416400} is an apocalyptic number.

2684944416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2684944416400 is the 1638580-th square number.

It is an amenable number.

2684944416400 is an abundant number, since it is smaller than the sum of its proper divisors (3765713278731).

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

2684944416400 is an frugal number, since it uses more digits than its factorization.

2684944416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163876 (or 81936 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 2684944416400 in words is "two trillion, six hundred eighty-four billion, nine hundred forty-four million, four hundred sixteen thousand, four hundred".