2934811382464 has 112 divisors (see below), whose sum is σ = 6372892512000. Its totient is φ = 1332760826880.

The previous prime is 2934811382423. The next prime is 2934811382483. The reversal of 2934811382464 is 4642831184392.

It is a super-2 number, since 2×2934811382464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29427147 + ... + 29526709.

It is an arithmetic number, because the mean of its divisors is an integer number (56900826000).

Almost surely, 2^{2934811382464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934811382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186446256000).

2934811382464 is an abundant number, since it is smaller than the sum of its proper divisors (3438081129536).

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

2934811382464 is a wasteful number, since it uses less digits than its factorization.

2934811382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100158 (or 100148 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 2934811382464 in words is "two trillion, nine hundred thirty-four billion, eight hundred eleven million, three hundred eighty-two thousand, four hundred sixty-four".