2142489600 has 396 divisors, whose sum is σ = 8137218024. Its totient is φ = 536739840.

The previous prime is 2142489589. The next prime is 2142489607. The reversal of 2142489600 is 69842412.

2142489600 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 48 + 9 + 600 = 666.

It is a super-2 number, since 2×2142489600² = 9180523372216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2142489607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3916527 + ... + 3917073.

Almost surely, 2^2142489600 is an apocalyptic number.

2142489600 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 2142489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068609012).

2142489600 is an abundant number, since it is smaller than the sum of its proper divisors (5994728424).

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

2142489600 is a wasteful number, since it uses less digits than its factorization.

2142489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2142489600 is about 46287.0349017951. The cubic root of 2142489600 is about 1289.1582754844.

The spelling of 2142489600 in words is "two billion, one hundred forty-two million, four hundred eighty-nine thousand, six hundred".