2142120400 has 60 divisors (see below), whose sum is σ = 5881658272. Its totient is φ = 734440320.

The previous prime is 2142120371. The next prime is 2142120503. The reversal of 2142120400 is 40212412.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 379722 + ... + 385321.

Almost surely, 2^2142120400 is an apocalyptic number.

2142120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142120400 is an abundant number, since it is smaller than the sum of its proper divisors (3739537872).

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

2142120400 is a wasteful number, since it uses less digits than its factorization.

2142120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765068 (or 765057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2142120400 is about 46283.0465721521. The cubic root of 2142120400 is about 1289.0842207372.

Adding to 2142120400 its reverse (40212412), we get a palindrome (2182332812).

The spelling of 2142120400 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, four hundred".