2931152242734 has 192 divisors, whose sum is σ = 6791679498240. Its totient is φ = 911665497600.

The previous prime is 2931152242729. The next prime is 2931152242751. The reversal of 2931152242734 is 4372422511392.

2931152242734 is a `hidden beast` number, since 2 + 9 + 3 + 11 + 522 + 42 + 73 + 4 = 666.

It is a super-3 number, since 3×2931152242734³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2931152242734.

It is a congruent number.

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, 3095197249 + ... + 3095198195.

It is an arithmetic number, because the mean of its divisors is an integer number (35373330720).

Almost surely, 2^{2931152242734} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2931152242734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395839749120).

2931152242734 is an abundant number, since it is smaller than the sum of its proper divisors (3860527255506).

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

2931152242734 is a wasteful number, since it uses less digits than its factorization.

2931152242734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2092 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 2931152242734 in words is "two trillion, nine hundred thirty-one billion, one hundred fifty-two million, two hundred forty-two thousand, seven hundred thirty-four".