2142003600 has 180 divisors, whose sum is σ = 8109256272. Its totient is φ = 519264000.

The previous prime is 2142003599. The next prime is 2142003613. The reversal of 2142003600 is 63002412.

It is a happy number.

2142003600 is a `hidden beast` number, since 21 + 42 + 0 + 0 + 3 + 600 = 666.

2142003600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12555 + ... + 66645.

Almost surely, 2^2142003600 is an apocalyptic number.

2142003600 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 2142003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054628136).

2142003600 is an abundant number, since it is smaller than the sum of its proper divisors (5967252672).

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

2142003600 is a wasteful number, since it uses less digits than its factorization.

2142003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54126 (or 54112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2142003600 is about 46281.7847538316. The cubic root of 2142003600 is about 1289.0607910280.

The spelling of 2142003600 in words is "two billion, one hundred forty-two million, three thousand, six hundred".