2842212400 has 60 divisors (see below), whose sum is σ = 6833540304. Its totient is φ = 1136032000.

The previous prime is 2842212389. The next prime is 2842212403. The reversal of 2842212400 is 42122482.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2842212403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047045 + ... + 1049755.

Almost surely, 2^2842212400 is an apocalyptic number.

2842212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2842212400 is an abundant number, since it is smaller than the sum of its proper divisors (3991327904).

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

2842212400 is a wasteful number, since it uses less digits than its factorization.

2842212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 2842212400 is about 53312.4038099953. The cubic root of 2842212400 is about 1416.5073857061.

Adding to 2842212400 its reverse (42122482), we get a palindrome (2884334882).

The spelling of 2842212400 in words is "two billion, eight hundred forty-two million, two hundred twelve thousand, four hundred".