2684984400 has 540 divisors, whose sum is σ = 11211318144. Its totient is φ = 592704000.

The previous prime is 2684984389. The next prime is 2684984483. The reversal of 2684984400 is 44894862.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5468155 + ... + 5468645.

Almost surely, 2^2684984400 is an apocalyptic number.

2684984400 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 2684984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605659072).

2684984400 is an abundant number, since it is smaller than the sum of its proper divisors (8526333744).

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

2684984400 is a wasteful number, since it uses less digits than its factorization.

2684984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2684984400 is about 51816.8351021171. The cubic root of 2684984400 is about 1389.8905077393.

The spelling of 2684984400 in words is "two billion, six hundred eighty-four million, nine hundred eighty-four thousand, four hundred".