2925358800 has 720 divisors, whose sum is σ = 12147347520. Its totient is φ = 596090880.

The previous prime is 2925358781. The next prime is 2925358801. The reversal of 2925358800 is 88535292.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925358801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32869156 + ... + 32869244.

It is an arithmetic number, because the mean of its divisors is an integer number (16871316).

Almost surely, 2^2925358800 is an apocalyptic number.

2925358800 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 2925358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073673760).

2925358800 is an abundant number, since it is smaller than the sum of its proper divisors (9221988720).

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

2925358800 is a wasteful number, since it uses less digits than its factorization.

2925358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2925358800 is about 54086.5861374149. The cubic root of 2925358800 is about 1430.1877269969.

The spelling of 2925358800 in words is "two billion, nine hundred twenty-five million, three hundred fifty-eight thousand, eight hundred".