2652804000 has 1152 divisors, whose sum is σ = 12548390400. Its totient is φ = 532224000.

The previous prime is 2652803987. The next prime is 2652804001. The reversal of 2652804000 is 4082562.

2652804000 is a `hidden beast` number, since 2 + 652 + 8 + 0 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652804001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91475986 + ... + 91476014.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2^2652804000 is an apocalyptic number.

2652804000 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 2652804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

2652804000 is an abundant number, since it is smaller than the sum of its proper divisors (9895586400).

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

2652804000 is a wasteful number, since it uses less digits than its factorization.

2652804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

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

The square root of 2652804000 is about 51505.3783599344. The cubic root of 2652804000 is about 1384.3154136498.

Adding to 2652804000 its reverse (4082562), we get a palindrome (2656886562).

The spelling of 2652804000 in words is "two billion, six hundred fifty-two million, eight hundred four thousand".