2684312400 has 720 divisors, whose sum is σ = 11452044800. Its totient is φ = 524620800.

The previous prime is 2684312383. The next prime is 2684312429. The reversal of 2684312400 is 42134862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19311531 + ... + 19311669.

Almost surely, 2^2684312400 is an apocalyptic number.

2684312400 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 2684312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726022400).

2684312400 is an abundant number, since it is smaller than the sum of its proper divisors (8767732400).

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

2684312400 is a wasteful number, since it uses less digits than its factorization.

2684312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2684312400 is about 51810.3503172870. The cubic root of 2684312400 is about 1389.7745437690.

The spelling of 2684312400 in words is "two billion, six hundred eighty-four million, three hundred twelve thousand, four hundred".