2790042971520 has 768 divisors, whose sum is σ = 10484735040000. Its totient is φ = 629174697984.

The previous prime is 2790042971479. The next prime is 2790042971557. The reversal of 2790042971520 is 251792400972.

It is a super-2 number, since 2×2790042971520² (a number of 26 digits) contains 22 as substring.

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 2790042971520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4835429472 + ... + 4835430048.

It is an arithmetic number, because the mean of its divisors is an integer number (13651998750).

Almost surely, 2^{2790042971520} is an apocalyptic number.

2790042971520 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 2790042971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242367520000).

2790042971520 is an abundant number, since it is smaller than the sum of its proper divisors (7694692068480).

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

2790042971520 is a wasteful number, since it uses less digits than its factorization.

2790042971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 2790042971520 in words is "two trillion, seven hundred ninety billion, forty-two million, nine hundred seventy-one thousand, five hundred twenty".