2138915376 has 120 divisors (see below), whose sum is σ = 6648302160. Its totient is φ = 658105344.

The previous prime is 2138915353. The next prime is 2138915411. The reversal of 2138915376 is 6735198312.

2138915376 is a `hidden beast` number, since 21 + 3 + 8 + 91 + 537 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58360 + ... + 87656.

It is an arithmetic number, because the mean of its divisors is an integer number (55402518).

Almost surely, 2^2138915376 is an apocalyptic number.

2138915376 is a gapful number since it is divisible by the number (26) 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 2138915376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324151080).

2138915376 is an abundant number, since it is smaller than the sum of its proper divisors (4509386784).

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

2138915376 is a wasteful number, since it uses less digits than its factorization.

2138915376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29340 (or 29315 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2138915376 is about 46248.4094429203. The cubic root of 2138915376 is about 1288.4409938813.

The spelling of 2138915376 in words is "two billion, one hundred thirty-eight million, nine hundred fifteen thousand, three hundred seventy-six".