2142504600 has 192 divisors, whose sum is σ = 7040323200. Its totient is φ = 537477120.

The previous prime is 2142504599. The next prime is 2142504613. The reversal of 2142504600 is 64052412.

2142504600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142504600² = 9180651922042320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1857624 + ... + 1858776.

It is an arithmetic number, because the mean of its divisors is an integer number (36668350).

Almost surely, 2^2142504600 is an apocalyptic number.

2142504600 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 2142504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520161600).

2142504600 is an abundant number, since it is smaller than the sum of its proper divisors (4897818600).

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

2142504600 is a wasteful number, since it uses less digits than its factorization.

2142504600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2142504600 is about 46287.1969339255. The cubic root of 2142504600 is about 1289.1612840294.

The spelling of 2142504600 in words is "two billion, one hundred forty-two million, five hundred four thousand, six hundred".