2842538400 has 576 divisors, whose sum is σ = 11339274240. Its totient is φ = 682905600.

The previous prime is 2842538371. The next prime is 2842538417. The reversal of 2842538400 is 48352482.

2842538400 is a `hidden beast` number, since 2 + 84 + 2 + 538 + 40 + 0 = 666.

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

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, 14882305 + ... + 14882495.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^2842538400 is an apocalyptic number.

2842538400 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 2842538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

2842538400 is an abundant number, since it is smaller than the sum of its proper divisors (8496735840).

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

2842538400 is a wasteful number, since it uses less digits than its factorization.

2842538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2842538400 is about 53315.4611721591. The cubic root of 2842538400 is about 1416.5615411419.

The spelling of 2842538400 in words is "two billion, eight hundred forty-two million, five hundred thirty-eight thousand, four hundred".