2652912000 has 640 divisors, whose sum is σ = 10396900800. Its totient is φ = 669081600.

The previous prime is 2652911971. The next prime is 2652912019. The reversal of 2652912000 is 2192562.

2652912000 is a `hidden beast` number, since 2 + 652 + 9 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29807956 + ... + 29808044.

Almost surely, 2^2652912000 is an apocalyptic number.

2652912000 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 2652912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198450400).

2652912000 is an abundant number, since it is smaller than the sum of its proper divisors (7743988800).

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

2652912000 is an equidigital number, since it uses as much as digits as its factorization.

2652912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2652912000 is about 51506.4267834607. The cubic root of 2652912000 is about 1384.3341993115.

The spelling of 2652912000 in words is "two billion, six hundred fifty-two million, nine hundred twelve thousand".