2142138400 has 36 divisors (see below), whose sum is σ = 5229497322. Its totient is φ = 856855040.

The previous prime is 2142138377. The next prime is 2142138407. The reversal of 2142138400 is 48312412.

It can be written as a sum of positive squares in 3 ways, for example, as 1312467984 + 829670416 = 36228^2 + 28804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2142138407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1338037 + ... + 1339636.

Almost surely, 2^2142138400 is an apocalyptic number.

2142138400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142138400 is an abundant number, since it is smaller than the sum of its proper divisors (3087358922).

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

2142138400 is a wasteful number, since it uses less digits than its factorization.

2142138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677693 (or 2677680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2142138400 is about 46283.2410273957. The cubic root of 2142138400 is about 1289.0878314043.

The spelling of 2142138400 in words is "two billion, one hundred forty-two million, one hundred thirty-eight thousand, four hundred".