2142024000 has 224 divisors, whose sum is σ = 7132320000. Its totient is φ = 566425600.

The previous prime is 2142023999. The next prime is 2142024023. The reversal of 2142024000 is 4202412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3575701 + ... + 3576299.

Almost surely, 2^2142024000 is an apocalyptic number.

2142024000 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 2142024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566160000).

2142024000 is an abundant number, since it is smaller than the sum of its proper divisors (4990296000).

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

2142024000 is a wasteful number, since it uses less digits than its factorization.

2142024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2142024000 is about 46282.0051423877. The cubic root of 2142024000 is about 1289.0648832646.

Adding to 2142024000 its reverse (4202412), we get a palindrome (2146226412).

The spelling of 2142024000 in words is "two billion, one hundred forty-two million, twenty-four thousand".