2938256132400 has 480 divisors, whose sum is σ = 11147846016000. Its totient is φ = 732896087040.

The previous prime is 2938256132389. The next prime is 2938256132417. The reversal of 2938256132400 is 42316528392.

2938256132400 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 2 + 5 + 613 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16120174 + ... + 16301426.

It is an arithmetic number, because the mean of its divisors is an integer number (23224679200).

Almost surely, 2^{2938256132400} is an apocalyptic number.

2938256132400 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 2938256132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573923008000).

2938256132400 is an abundant number, since it is smaller than the sum of its proper divisors (8209589883600).

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

2938256132400 is a wasteful number, since it uses less digits than its factorization.

2938256132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181378 (or 181361 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 293825 and 6132400, that added together give a square (6426225 = 2535²).

The spelling of 2938256132400 in words is "two trillion, nine hundred thirty-eight billion, two hundred fifty-six million, one hundred thirty-two thousand, four hundred".