2925220204800 has 324 divisors, whose sum is σ = 10461657523044. Its totient is φ = 779809996800.

The previous prime is 2925220204799. The next prime is 2925220204811. The reversal of 2925220204800 is 84020225292.

2925220204800 is a `hidden beast` number, since 2 + 92 + 52 + 20 + 20 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 661086077184 + 2264134127616 = 813072^2 + 1504704^2 .

It is a super-3 number, since 3×2925220204800³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244966830 + ... + 244978770.

Almost surely, 2^{2925220204800} is an apocalyptic number.

2925220204800 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 2925220204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230828761522).

2925220204800 is an abundant number, since it is smaller than the sum of its proper divisors (7536437318244).

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

2925220204800 is a wasteful number, since it uses less digits than its factorization.

2925220204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16226 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2925220204800 in words is "two trillion, nine hundred twenty-five billion, two hundred twenty million, two hundred four thousand, eight hundred".