2799746760096 has 1440 divisors, whose sum is σ = 10661189704704. Its totient is φ = 712754380800.

The previous prime is 2799746760091. The next prime is 2799746760133. The reversal of 2799746760096 is 6900676479972.

2799746760096 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 7 + 4 + 6 + 7 + 600 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2799746760091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2148692181 + ... + 2148693483.

Almost surely, 2^{2799746760096} is an apocalyptic number.

2799746760096 is a gapful number since it is divisible by the number (26) 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 2799746760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330594852352).

2799746760096 is an abundant number, since it is smaller than the sum of its proper divisors (7861442944608).

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

2799746760096 is a wasteful number, since it uses less digits than its factorization.

2799746760096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 2799746760096 in words is "two trillion, seven hundred ninety-nine billion, seven hundred forty-six million, seven hundred sixty thousand, ninety-six".