2138481724764 has 576 divisors, whose sum is σ = 6772578656256. Its totient is φ = 512987904000.

The previous prime is 2138481724723. The next prime is 2138481724777. The reversal of 2138481724764 is 4674271848312.

It is a happy number.

It is a super-2 number, since 2×2138481724764² (a number of 25 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 191 ways as a sum of consecutive naturals, for example, 617877994 + ... + 617881454.

It is an arithmetic number, because the mean of its divisors is an integer number (11757949056).

Almost surely, 2^{2138481724764} 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 2138481724764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386289328128).

2138481724764 is an abundant number, since it is smaller than the sum of its proper divisors (4634096931492).

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

2138481724764 is a wasteful number, since it uses less digits than its factorization.

2138481724764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3605 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 57.

The spelling of 2138481724764 in words is "two trillion, one hundred thirty-eight billion, four hundred eighty-one million, seven hundred twenty-four thousand, seven hundred sixty-four".