2952536800 has 36 divisors (see below), whose sum is σ = 7207882416. Its totient is φ = 1181014400.

The previous prime is 2952536789. The next prime is 2952536827. The reversal of 2952536800 is 86352592.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1844536 + ... + 1846135.

It is an arithmetic number, because the mean of its divisors is an integer number (200218956).

Almost surely, 2^2952536800 is an apocalyptic number.

2952536800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952536800 is an abundant number, since it is smaller than the sum of its proper divisors (4255345616).

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

2952536800 is a wasteful number, since it uses less digits than its factorization.

2952536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690691 (or 3690678 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2952536800 is about 54337.2505745368. The cubic root of 2952536800 is about 1434.6031269028.

The spelling of 2952536800 in words is "two billion, nine hundred fifty-two million, five hundred thirty-six thousand, eight hundred".