2154679800 has 768 divisors, whose sum is σ = 9066086400. Its totient is φ = 410572800.

The previous prime is 2154679777. The next prime is 2154679829. The reversal of 2154679800 is 89764512.

2154679800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32159367 + ... + 32159433.

It is an arithmetic number, because the mean of its divisors is an integer number (11804800).

Almost surely, 2^2154679800 is an apocalyptic number.

2154679800 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 2154679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533043200).

2154679800 is an abundant number, since it is smaller than the sum of its proper divisors (6911406600).

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

2154679800 is a wasteful number, since it uses less digits than its factorization.

2154679800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2154679800 is about 46418.5286281244. The cubic root of 2154679800 is about 1291.5986430127.

The spelling of 2154679800 in words is "two billion, one hundred fifty-four million, six hundred seventy-nine thousand, eight hundred".