2138295680 has 64 divisors (see below), whose sum is σ = 5276810880. Its totient is φ = 827719680.

The previous prime is 2138295659. The next prime is 2138295697. The reversal of 2138295680 is 865928312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34049 + ... + 73728.

It is an arithmetic number, because the mean of its divisors is an integer number (82450170).

Almost surely, 2^2138295680 is an apocalyptic number.

2138295680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138295680 is an abundant number, since it is smaller than the sum of its proper divisors (3138515200).

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

2138295680 is a wasteful number, since it uses less digits than its factorization.

2138295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107827 (or 107815 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 2138295680 is about 46241.7093109673. The cubic root of 2138295680 is about 1288.3165509260.

The spelling of 2138295680 in words is "two billion, one hundred thirty-eight million, two hundred ninety-five thousand, six hundred eighty".