2935081007160 has 128 divisors (see below), whose sum is σ = 8822195308800. Its totient is φ = 781182904320.

The previous prime is 2935081007153. The next prime is 2935081007171. The reversal of 2935081007160 is 617001805392.

2935081007160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2935081007160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137277351 + ... + 137298729.

It is an arithmetic number, because the mean of its divisors is an integer number (68923400850).

Almost surely, 2^{2935081007160} is an apocalyptic number.

2935081007160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2935081007160 is an abundant number, since it is smaller than the sum of its proper divisors (5887114301640).

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

2935081007160 is a wasteful number, since it uses less digits than its factorization.

2935081007160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23541 (or 23537 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 2935081007160 in words is "two trillion, nine hundred thirty-five billion, eighty-one million, seven thousand, one hundred sixty".