2052864000 has 672 divisors, whose sum is σ = 8378763120. Its totient is φ = 497664000.

The previous prime is 2052863959. The next prime is 2052864013. The reversal of 2052864000 is 4682502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623995 + ... + 186624005.

Almost surely, 2^2052864000 is an apocalyptic number.

2052864000 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 2052864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189381560).

2052864000 is an abundant number, since it is smaller than the sum of its proper divisors (6325899120).

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

2052864000 is an frugal number, since it uses more digits than its factorization.

2052864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2052864000 is about 45308.5422409505. The cubic root of 2052864000 is about 1270.9254007174.

The spelling of 2052864000 in words is "two billion, fifty-two million, eight hundred sixty-four thousand".