2793398400 has 480 divisors, whose sum is σ = 11114588100. Its totient is φ = 686776320.

The previous prime is 2793398393. The next prime is 2793398417. The reversal of 2793398400 is 48933972.

It is a happy number.

2793398400 is a `hidden beast` number, since 279 + 339 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 609892416 + 2183505984 = 24696^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2793398400² = 15606149242245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369186 + ... + 3370014.

Almost surely, 2^2793398400 is an apocalyptic number.

2793398400 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 2793398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557294050).

2793398400 is an abundant number, since it is smaller than the sum of its proper divisors (8321189700).

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

2793398400 is a wasteful number, since it uses less digits than its factorization.

2793398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2793398400 is about 52852.6101531419. The cubic root of 2793398400 is about 1408.3511735969.

The spelling of 2793398400 in words is "two billion, seven hundred ninety-three million, three hundred ninety-eight thousand, four hundred".