2955924080400 has 480 divisors, whose sum is σ = 10036692610560. Its totient is φ = 741572444160.

The previous prime is 2955924080299. The next prime is 2955924080477. The reversal of 2955924080400 is 40804295592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2955924080400.

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 95 ways as a sum of consecutive naturals, for example, 2428860592 + ... + 2428861808.

It is an arithmetic number, because the mean of its divisors is an integer number (20909776272).

Almost surely, 2^{2955924080400} is an apocalyptic number.

2955924080400 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 2955924080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018346305280).

2955924080400 is an abundant number, since it is smaller than the sum of its proper divisors (7080768530160).

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

2955924080400 is a wasteful number, since it uses less digits than its factorization.

2955924080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 2955924080400 in words is "two trillion, nine hundred fifty-five billion, nine hundred twenty-four million, eighty thousand, four hundred".