2047652800 has 168 divisors, whose sum is σ = 5346446000. Its totient is φ = 769720320.

The previous prime is 2047652753. The next prime is 2047652813. The reversal of 2047652800 is 82567402.

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, 5867026 + ... + 5867374.

Almost surely, 2^2047652800 is an apocalyptic number.

2047652800 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 2047652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673223000).

2047652800 is an abundant number, since it is smaller than the sum of its proper divisors (3298793200).

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

2047652800 is a wasteful number, since it uses less digits than its factorization.

2047652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2047652800 is about 45250.9977790546. The cubic root of 2047652800 is about 1269.8490737629.

The spelling of 2047652800 in words is "two billion, forty-seven million, six hundred fifty-two thousand, eight hundred".