2972416290711 has 32 divisors (see below), whose sum is σ = 4788789135360. Its totient is φ = 1602038899296.

The previous prime is 2972416290671. The next prime is 2972416290731. The reversal of 2972416290711 is 1170926142792.

2972416290711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2972416290711 - 2⁷ = 2972416290583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972416290731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16318381 + ... + 16499526.

It is an arithmetic number, because the mean of its divisors is an integer number (149649660480).

Almost surely, 2^{2972416290711} is an apocalyptic number.

2972416290711 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2972416290711 is a deficient number, since it is larger than the sum of its proper divisors (1816372844649).

2972416290711 is a wasteful number, since it uses less digits than its factorization.

2972416290711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32818163.

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 2972416290711 in words is "two trillion, nine hundred seventy-two billion, four hundred sixteen million, two hundred ninety thousand, seven hundred eleven".