2652825600 has 576 divisors, whose sum is σ = 10358712000. Its totient is φ = 663552000.

The previous prime is 2652825599. The next prime is 2652825601. The reversal of 2652825600 is 65282562.

2652825600 is a `hidden beast` number, since 2 + 6 + 5 + 28 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2652825599) and next prime (2652825601).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2652825601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26265550 + ... + 26265650.

It is an arithmetic number, because the mean of its divisors is an integer number (17983875).

Almost surely, 2^2652825600 is an apocalyptic number.

2652825600 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 2652825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179356000).

2652825600 is an abundant number, since it is smaller than the sum of its proper divisors (7705886400).

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

2652825600 is a wasteful number, since it uses less digits than its factorization.

2652825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2652825600 is about 51505.5880463470. The cubic root of 2652825600 is about 1384.3191708229.

2652825600 divided by its product of nonzero digits (57600) gives a triangular number (46056 = T₃₀₃).

The spelling of 2652825600 in words is "two billion, six hundred fifty-two million, eight hundred twenty-five thousand, six hundred".