2938691884968 has 160 divisors (see below), whose sum is σ = 9411500419200. Its totient is φ = 839217760128.

The previous prime is 2938691884967. The next prime is 2938691884991. The reversal of 2938691884968 is 8694881968392.

2938691884968 is a `hidden beast` number, since 2 + 9 + 38 + 6 + 91 + 8 + 8 + 496 + 8 = 666.

It is a super-2 number, since 2×2938691884968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2938691884967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9228421 + ... + 9541547.

It is an arithmetic number, because the mean of its divisors is an integer number (58821877620).

Almost surely, 2^{2938691884968} is an apocalyptic number.

2938691884968 is a gapful number since it is divisible by the number (28) 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 2938691884968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705750209600).

2938691884968 is an abundant number, since it is smaller than the sum of its proper divisors (6472808534232).

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

2938691884968 is a wasteful number, since it uses less digits than its factorization.

2938691884968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315221 (or 315208 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 81.

The spelling of 2938691884968 in words is "two trillion, nine hundred thirty-eight billion, six hundred ninety-one million, eight hundred eighty-four thousand, nine hundred sixty-eight".