2972089528254 has 576 divisors, whose sum is σ = 8443742186880. Its totient is φ = 739031040000.

The previous prime is 2972089528253. The next prime is 2972089528273. The reversal of 2972089528254 is 4528259802792.

2972089528254 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 0 + 89 + 528 + 25 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2972089528191 and 2972089528200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972089528253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12332321574 + ... + 12332321814.

It is an arithmetic number, because the mean of its divisors is an integer number (14659274630).

Almost surely, 2^{2972089528254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972089528254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221871093440).

2972089528254 is an abundant number, since it is smaller than the sum of its proper divisors (5471652658626).

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

2972089528254 is a wasteful number, since it uses less digits than its factorization.

2972089528254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2972089528254 in words is "two trillion, nine hundred seventy-two billion, eighty-nine million, five hundred twenty-eight thousand, two hundred fifty-four".