2798594400 has 576 divisors, whose sum is σ = 11339274240. Its totient is φ = 584908800.

The previous prime is 2798594399. The next prime is 2798594401. The reversal of 2798594400 is 44958972.

It is an interprime number because it is at equal distance from previous prime (2798594399) and next prime (2798594401).

It is a super-2 number, since 2×2798594400² = 15664261231422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2798594400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798594401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11709481 + ... + 11709719.

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

Almost surely, 2^2798594400 is an apocalyptic number.

2798594400 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 2798594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

2798594400 is an abundant number, since it is smaller than the sum of its proper divisors (8540679840).

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

2798594400 is a wasteful number, since it uses less digits than its factorization.

2798594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2798594400 is about 52901.7428824420. The cubic root of 2798594400 is about 1409.2238573389.

The spelling of 2798594400 in words is "two billion, seven hundred ninety-eight million, five hundred ninety-four thousand, four hundred".