2652372000 has 384 divisors, whose sum is σ = 9906624000. Its totient is φ = 688896000.

The previous prime is 2652371951. The next prime is 2652372017. The reversal of 2652372000 is 2732562.

2652372000 is a `hidden beast` number, since 2 + 652 + 3 + 7 + 2 + 0 + 0 + 0 = 666.

2652372000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 4427701 + ... + 4428299.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2652372000 is an apocalyptic number.

2652372000 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 2652372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2652372000 is an abundant number, since it is smaller than the sum of its proper divisors (7254252000).

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

2652372000 is a wasteful number, since it uses less digits than its factorization.

2652372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2652372000 is about 51501.1844523988. The cubic root of 2652372000 is about 1384.2402659037.

The spelling of 2652372000 in words is "two billion, six hundred fifty-two million, three hundred seventy-two thousand".