2790745513920 has 2016 divisors, whose sum is σ = 12614590130688. Its totient is φ = 582033973248.

The previous prime is 2790745513901. The next prime is 2790745513937. The reversal of 2790745513920 is 293155470972.

2790745513920 is a `hidden beast` number, since 2 + 7 + 90 + 7 + 455 + 13 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5101911087 + ... + 5101911633.

It is an arithmetic number, because the mean of its divisors is an integer number (6257237168).

Almost surely, 2^{2790745513920} is an apocalyptic number.

2790745513920 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 2790745513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307295065344).

2790745513920 is an abundant number, since it is smaller than the sum of its proper divisors (9823844616768).

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

2790745513920 is a wasteful number, since it uses less digits than its factorization.

2790745513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 2790745513920 in words is "two trillion, seven hundred ninety billion, seven hundred forty-five million, five hundred thirteen thousand, nine hundred twenty".