2796400916400 has 1920 divisors, whose sum is σ = 12081786716160. Its totient is φ = 536481792000.

The previous prime is 2796400916399. The next prime is 2796400916423. The reversal of 2796400916400 is 46190046972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2796400916400.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 6039742569 + ... + 6039743031.

It is an arithmetic number, because the mean of its divisors is an integer number (6292597248).

Almost surely, 2^{2796400916400} is an apocalyptic number.

2796400916400 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 2796400916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040893358080).

2796400916400 is an abundant number, since it is smaller than the sum of its proper divisors (9285385799760).

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

2796400916400 is a wasteful number, since it uses less digits than its factorization.

2796400916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 2796400916400 in words is "two trillion, seven hundred ninety-six billion, four hundred million, nine hundred sixteen thousand, four hundred".