2138877504 has 189 divisors, whose sum is σ = 6420426961. Its totient is φ = 680770560.

The previous prime is 2138877497. The next prime is 2138877509. The reversal of 2138877504 is 4057788312.

The square root of 2138877504 is 46248.

It is a perfect power (a square), and thus also a powerful number.

2138877504 is a `hidden beast` number, since 2 + 138 + 8 + 7 + 7 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103063104 + 2035814400 = 10152^2 + 45120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2138877504.

It is not an unprimeable number, because it can be changed into a prime (2138877509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45508009 + ... + 45508055.

Almost surely, 2^2138877504 is an apocalyptic number.

2138877504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2138877504 is the 46248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138877504

2138877504 is an abundant number, since it is smaller than the sum of its proper divisors (4281549457).

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

2138877504 is an equidigital number, since it uses as much as digits as its factorization.

2138877504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The cubic root of 2138877504 is about 1288.4333893846.

The spelling of 2138877504 in words is "two billion, one hundred thirty-eight million, eight hundred seventy-seven thousand, five hundred four".