2842135920 has 120 divisors (see below), whose sum is σ = 10279092096. Its totient is φ = 699600384.

The previous prime is 2842135903. The next prime is 2842135931. The reversal of 2842135920 is 295312482.

It is a happy number.

2842135920 is a `hidden beast` number, since 28 + 42 + 1 + 3 + 592 + 0 = 666.

2842135920 is digitally balanced in base 2, 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 (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142464 + ... + 161183.

Almost surely, 2^2842135920 is an apocalyptic number.

2842135920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2842135920 is an abundant number, since it is smaller than the sum of its proper divisors (7436956176).

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

2842135920 is a wasteful number, since it uses less digits than its factorization.

2842135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303679 (or 303670 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2842135920 is about 53311.6865236882. The cubic root of 2842135920 is about 1416.4946801747.

The spelling of 2842135920 in words is "two billion, eight hundred forty-two million, one hundred thirty-five thousand, nine hundred twenty".