2799033350400 has 972 divisors, whose sum is σ = 12016892369664. Its totient is φ = 619121664000.

The previous prime is 2799033350381. The next prime is 2799033350413. The reversal of 2799033350400 is 40533309972.

2799033350400 is a `hidden beast` number, since 27 + 9 + 90 + 3 + 33 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87478405 + ... + 87510395.

Almost surely, 2^{2799033350400} is an apocalyptic number.

2799033350400 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 2799033350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008446184832).

2799033350400 is an abundant number, since it is smaller than the sum of its proper divisors (9217859019264).

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

2799033350400 is a wasteful number, since it uses less digits than its factorization.

2799033350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32068 (or 32039 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 2799033350400 in words is "two trillion, seven hundred ninety-nine billion, thirty-three million, three hundred fifty thousand, four hundred".