2101352274432 has 560 divisors, whose sum is σ = 6664108440000. Its totient is φ = 659806912512.

The previous prime is 2101352274431. The next prime is 2101352274547. The reversal of 2101352274432 is 2344722531012.

2101352274432 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 352 + 274 + 4 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2101352274431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1411249944 + ... + 1411251432.

Almost surely, 2^{2101352274432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101352274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332054220000).

2101352274432 is an abundant number, since it is smaller than the sum of its proper divisors (4562756165568).

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

2101352274432 is an equidigital number, since it uses as much as digits as its factorization.

2101352274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2101352274432 in words is "two trillion, one hundred one billion, three hundred fifty-two million, two hundred seventy-four thousand, four hundred thirty-two".