2138105400 has 96 divisors (see below), whose sum is σ = 6642097200. Its totient is φ = 568960000.

The previous prime is 2138105357. The next prime is 2138105447. The reversal of 2138105400 is 45018312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301900 + ... + 308900.

Almost surely, 2^2138105400 is an apocalyptic number.

2138105400 is a gapful number since it is divisible by the number (20) 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 2138105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321048600).

2138105400 is an abundant number, since it is smaller than the sum of its proper divisors (4503991800).

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

2138105400 is a wasteful number, since it uses less digits than its factorization.

2138105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2138105400 is about 46239.6518152981. The cubic root of 2138105400 is about 1288.2783354214.

The spelling of 2138105400 in words is "two billion, one hundred thirty-eight million, one hundred five thousand, four hundred".