2799168877440 has 768 divisors, whose sum is σ = 11310911539200. Its totient is φ = 631694868480.

The previous prime is 2799168877423. The next prime is 2799168877499. The reversal of 2799168877440 is 447788619972.

2799168877440 is a `hidden beast` number, since 2 + 7 + 99 + 16 + 8 + 87 + 7 + 440 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 44072587 + ... + 44136053.

It is an arithmetic number, because the mean of its divisors is an integer number (14727749400).

Almost surely, 2^{2799168877440} is an apocalyptic number.

2799168877440 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 2799168877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655455769600).

2799168877440 is an abundant number, since it is smaller than the sum of its proper divisors (8511742661760).

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

2799168877440 is a wasteful number, since it uses less digits than its factorization.

2799168877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63555 (or 63540 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 2799168877440 in words is "two trillion, seven hundred ninety-nine billion, one hundred sixty-eight million, eight hundred seventy-seven thousand, four hundred forty".