2147056800 has 288 divisors, whose sum is σ = 8036485632. Its totient is φ = 487726080.

The previous prime is 2147056777. The next prime is 2147056811. The reversal of 2147056800 is 86507412.

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, 3813319 + ... + 3813881.

It is an arithmetic number, because the mean of its divisors is an integer number (27904464).

Almost surely, 2^2147056800 is an apocalyptic number.

2147056800 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 2147056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018242816).

2147056800 is an abundant number, since it is smaller than the sum of its proper divisors (5889428832).

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

2147056800 is a wasteful number, since it uses less digits than its factorization.

2147056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2147056800 is about 46336.3442666769. The cubic root of 2147056800 is about 1290.0736692499.

The spelling of 2147056800 in words is "two billion, one hundred forty-seven million, fifty-six thousand, eight hundred".