2138440800 has 72 divisors (see below), whose sum is σ = 6960632616. Its totient is φ = 570250240.

The previous prime is 2138440793. The next prime is 2138440819. The reversal of 2138440800 is 80448312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443109 + ... + 447908.

It is an arithmetic number, because the mean of its divisors is an integer number (96675453).

Almost surely, 2^2138440800 is an apocalyptic number.

2138440800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138440800 is an abundant number, since it is smaller than the sum of its proper divisors (4822191816).

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

2138440800 is a wasteful number, since it uses less digits than its factorization.

2138440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891040 (or 891027 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2138440800 is about 46243.2784304919. The cubic root of 2138440800 is about 1288.3456950508.

The spelling of 2138440800 in words is "two billion, one hundred thirty-eight million, four hundred forty thousand, eight hundred".