2952783590400 has 1386 divisors, whose sum is σ = 12769593619110. Its totient is φ = 674712944640.

The previous prime is 2952783590377. The next prime is 2952783590467. The reversal of 2952783590400 is 40953872592.

2952783590400 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 7 + 8 + 3 + 590 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 64524128256 + 2888259462144 = 254016^2 + 1699488^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914455986 + ... + 914459214.

Almost surely, 2^{2952783590400} is an apocalyptic number.

2952783590400 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 2952783590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384796809555).

2952783590400 is an abundant number, since it is smaller than the sum of its proper divisors (9816810028710).

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

2952783590400 is an equidigital number, since it uses as much as digits as its factorization.

2952783590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2952783590400 in words is "two trillion, nine hundred fifty-two billion, seven hundred eighty-three million, five hundred ninety thousand, four hundred".