2104678400 has 288 divisors, whose sum is σ = 5904465840. Its totient is φ = 737280000.

The previous prime is 2104678399. The next prime is 2104678441. The reversal of 2104678400 is 48764012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20838350 + ... + 20838450.

Almost surely, 2^2104678400 is an apocalyptic number.

2104678400 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 2104678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952232920).

2104678400 is an abundant number, since it is smaller than the sum of its proper divisors (3799787440).

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

2104678400 is a wasteful number, since it uses less digits than its factorization.

2104678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2104678400 is about 45876.7740801378. The cubic root of 2104678400 is about 1281.5294218260.

The spelling of 2104678400 in words is "two billion, one hundred four million, six hundred seventy-eight thousand, four hundred".