2952414800 has 120 divisors (see below), whose sum is σ = 7223644800. Its totient is φ = 1159459840.

The previous prime is 2952414739. The next prime is 2952414821. The reversal of 2952414800 is 84142592.

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 23 ways as a sum of consecutive naturals, for example, 8508227 + ... + 8508573.

It is an arithmetic number, because the mean of its divisors is an integer number (60197040).

Almost surely, 2^2952414800 is an apocalyptic number.

2952414800 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 2952414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611822400).

2952414800 is an abundant number, since it is smaller than the sum of its proper divisors (4271230000).

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

2952414800 is a wasteful number, since it uses less digits than its factorization.

2952414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2952414800 is about 54336.1279444901. The cubic root of 2952414800 is about 1434.5833671726.

The spelling of 2952414800 in words is "two billion, nine hundred fifty-two million, four hundred fourteen thousand, eight hundred".