2826398400 has 504 divisors, whose sum is σ = 11019379536. Its totient is φ = 632217600.

The previous prime is 2826398389. The next prime is 2826398431. The reversal of 2826398400 is 48936282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14347102 + ... + 14347298.

Almost surely, 2^2826398400 is an apocalyptic number.

2826398400 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 2826398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509689768).

2826398400 is an abundant number, since it is smaller than the sum of its proper divisors (8192981136).

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

2826398400 is a wasteful number, since it uses less digits than its factorization.

2826398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2826398400 is about 53163.8824767341. The cubic root of 2826398400 is about 1413.8753607094.

The spelling of 2826398400 in words is "two billion, eight hundred twenty-six million, three hundred ninety-eight thousand, four hundred".