2142638784 has 672 divisors, whose sum is σ = 8032089600. Its totient is φ = 553512960.

The previous prime is 2142638779. The next prime is 2142638801. The reversal of 2142638784 is 4878362412.

It is a happy number.

2142638784 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 638 + 7 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73884082 + ... + 73884110.

Almost surely, 2^2142638784 is an apocalyptic number.

2142638784 is a gapful number since it is divisible by the number (24) 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 2142638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016044800).

2142638784 is an abundant number, since it is smaller than the sum of its proper divisors (5889450816).

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

2142638784 is a wasteful number, since it uses less digits than its factorization.

2142638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2142638784 is about 46288.6463833195. The cubic root of 2142638784 is about 1289.1881966447.

The spelling of 2142638784 in words is "two billion, one hundred forty-two million, six hundred thirty-eight thousand, seven hundred eighty-four".