2972062558080 has 1152 divisors, whose sum is σ = 13459398372000. Its totient is φ = 617550151680.

The previous prime is 2972062558079. The next prime is 2972062558093. The reversal of 2972062558080 is 808552602792.

It is a happy number.

2972062558080 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 0 + 6 + 2 + 558 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102438616 + ... + 102467624.

Almost surely, 2^{2972062558080} is an apocalyptic number.

2972062558080 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 2972062558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729699186000).

2972062558080 is an abundant number, since it is smaller than the sum of its proper divisors (10487335813920).

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

2972062558080 is a wasteful number, since it uses less digits than its factorization.

2972062558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29073 (or 29037 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2972062558080 in words is "two trillion, nine hundred seventy-two billion, sixty-two million, five hundred fifty-eight thousand, eighty".