2842156800 has 972 divisors, whose sum is σ = 12677235480. Its totient is φ = 603832320.

The previous prime is 2842156789. The next prime is 2842156829. The reversal of 2842156800 is 86512482.

2842156800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 53625574 + ... + 53625626.

Almost surely, 2^2842156800 is an apocalyptic number.

2842156800 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 2842156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338617740).

2842156800 is an abundant number, since it is smaller than the sum of its proper divisors (9835078680).

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

2842156800 is a wasteful number, since it uses less digits than its factorization.

2842156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2842156800 is about 53311.8823528114. The cubic root of 2842156800 is about 1416.4981489669.

The spelling of 2842156800 in words is "two billion, eight hundred forty-two million, one hundred fifty-six thousand, eight hundred".