2800022400 has 1152 divisors, whose sum is σ = 13022380800. Its totient is φ = 557383680.

The previous prime is 2800022377. The next prime is 2800022429. The reversal of 2800022400 is 42200082.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65116779 + ... + 65116821.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^2800022400 is an apocalyptic number.

2800022400 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 2800022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511190400).

2800022400 is an abundant number, since it is smaller than the sum of its proper divisors (10222358400).

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

2800022400 is a wasteful number, since it uses less digits than its factorization.

2800022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2800022400 is about 52915.2378809734. The cubic root of 2800022400 is about 1409.4635049623.

Adding to 2800022400 its reverse (42200082), we get a palindrome (2842222482).

The spelling of 2800022400 in words is "two billion, eight hundred million, twenty-two thousand, four hundred".