2972136100032 has 280 divisors, whose sum is σ = 10176655602960. Its totient is φ = 847667773440.

The previous prime is 2972136099901. The next prime is 2972136100103. The reversal of 2972136100032 is 2300016312792.

2972136100032 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 1 + 3 + 610 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×2972136100032² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2972136100032.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563557 + ... + 2502372.

It is an arithmetic number, because the mean of its divisors is an integer number (36345198582).

Almost surely, 2^{2972136100032} is an apocalyptic number.

2972136100032 is a gapful number since it is divisible by the number (22) 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 2972136100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088327801480).

2972136100032 is an abundant number, since it is smaller than the sum of its proper divisors (7204519502928).

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

2972136100032 is a wasteful number, since it uses less digits than its factorization.

2972136100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065981 (or 3065962 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 2972136100032 in words is "two trillion, nine hundred seventy-two billion, one hundred thirty-six million, one hundred thousand, thirty-two".