2138588400 has 120 divisors (see below), whose sum is σ = 7377635440. Its totient is φ = 526417920.

The previous prime is 2138588371. The next prime is 2138588401. The reversal of 2138588400 is 48858312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2138588400² = 9147120689229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138588401) by changing a digit.

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, 52945 + ... + 84144.

Almost surely, 2^2138588400 is an apocalyptic number.

2138588400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138588400 is an abundant number, since it is smaller than the sum of its proper divisors (5239047040).

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

2138588400 is a wasteful number, since it uses less digits than its factorization.

2138588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137123 (or 137112 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2138588400 is about 46244.8743105655. The cubic root of 2138588400 is about 1288.3753358760.

The spelling of 2138588400 in words is "two billion, one hundred thirty-eight million, five hundred eighty-eight thousand, four hundred".