2047564800 has 198 divisors, whose sum is σ = 7332075608. Its totient is φ = 545955840.

The previous prime is 2047564781. The next prime is 2047564817. The reversal of 2047564800 is 84657402.

2047564800 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 5 + 648 + 0 + 0 = 666.

It is a super-2 number, since 2×2047564800² = 8385043220398080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225957 + ... + 234843.

Almost surely, 2^2047564800 is an apocalyptic number.

2047564800 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 2047564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666037804).

2047564800 is an abundant number, since it is smaller than the sum of its proper divisors (5284510808).

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

2047564800 is a wasteful number, since it uses less digits than its factorization.

2047564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2047564800 is about 45250.0254143575. The cubic root of 2047564800 is about 1269.8308824759.

The spelling of 2047564800 in words is "two billion, forty-seven million, five hundred sixty-four thousand, eight hundred".