2799373802400 has 2592 divisors, whose sum is σ = 12866178386880. Its totient is φ = 589990625280.

The previous prime is 2799373802389. The next prime is 2799373802447. The reversal of 2799373802400 is 42083739972.

2799373802400 is a `hidden beast` number, since 2 + 7 + 9 + 93 + 73 + 80 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9554176654 + ... + 9554176946.

It is an arithmetic number, because the mean of its divisors is an integer number (4963803390).

Almost surely, 2^{2799373802400} is an apocalyptic number.

2799373802400 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 2799373802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433089193440).

2799373802400 is an abundant number, since it is smaller than the sum of its proper divisors (10066804584480).

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

2799373802400 is a wasteful number, since it uses less digits than its factorization.

2799373802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2799373802400 in words is "two trillion, seven hundred ninety-nine billion, three hundred seventy-three million, eight hundred two thousand, four hundred".