2972970270090 has 192 divisors, whose sum is σ = 8125439961600. Its totient is φ = 753183954432.

The previous prime is 2972970270079. The next prime is 2972970270107. The reversal of 2972970270090 is 900720792792.

2972970270090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42171091 + ... + 42241529.

It is an arithmetic number, because the mean of its divisors is an integer number (42319999800).

Almost surely, 2^{2972970270090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972970270090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062719980800).

2972970270090 is an abundant number, since it is smaller than the sum of its proper divisors (5152469691510).

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

2972970270090 is a wasteful number, since it uses less digits than its factorization.

2972970270090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741 (or 70738 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

It can be divided in two parts, 29729702 and 70090, that added together give a palindrome (29799792).

The spelling of 2972970270090 in words is "two trillion, nine hundred seventy-two billion, nine hundred seventy million, two hundred seventy thousand, ninety".