2152774800 has 240 divisors, whose sum is σ = 8359316160. Its totient is φ = 521856000.

The previous prime is 2152774763. The next prime is 2152774843. The reversal of 2152774800 is 84772512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109740 + ... + 127860.

It is an arithmetic number, because the mean of its divisors is an integer number (34830484).

Almost surely, 2^2152774800 is an apocalyptic number.

2152774800 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 2152774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179658080).

2152774800 is an abundant number, since it is smaller than the sum of its proper divisors (6206541360).

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

2152774800 is a wasteful number, since it uses less digits than its factorization.

2152774800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2152774800 is about 46398.0042674251. The cubic root of 2152774800 is about 1291.2178871501.

The spelling of 2152774800 in words is "two billion, one hundred fifty-two million, seven hundred seventy-four thousand, eight hundred".