2793974400 has 288 divisors, whose sum is σ = 11394583200. Its totient is φ = 638576640.

The previous prime is 2793974371. The next prime is 2793974401. The reversal of 2793974400 is 44793972.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2793974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194671 + ... + 208529.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^2793974400 is an apocalyptic number.

2793974400 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 2793974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697291600).

2793974400 is an abundant number, since it is smaller than the sum of its proper divisors (8600608800).

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

2793974400 is a wasteful number, since it uses less digits than its factorization.

2793974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13896 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2793974400 is about 52858.0589881997. The cubic root of 2793974400 is about 1408.4479678249.

The spelling of 2793974400 in words is "two billion, seven hundred ninety-three million, nine hundred seventy-four thousand, four hundred".