2152344070400 has 108 divisors (see below), whose sum is σ = 5346624729012. Its totient is φ = 857828843520.

The previous prime is 2152344070361. The next prime is 2152344070411. The reversal of 2152344070400 is 40704432512.

It can be written as a sum of positive squares in 6 ways, for example, as 274961799424 + 1877382270976 = 524368^2 + 1370176^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165754 + ... + 2379846.

Almost surely, 2^{2152344070400} is an apocalyptic number.

2152344070400 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 2152344070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673312364506).

2152344070400 is an abundant number, since it is smaller than the sum of its proper divisors (3194280658612).

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

2152344070400 is a wasteful number, since it uses less digits than its factorization.

2152344070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214396 (or 1214377 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 2152344070400 in words is "two trillion, one hundred fifty-two billion, three hundred forty-four million, seventy thousand, four hundred".