2797352185680 has 960 divisors, whose sum is σ = 10611827466240. Its totient is φ = 655722086400.

The previous prime is 2797352185637. The next prime is 2797352185723. The reversal of 2797352185680 is 865812537972.

2797352185680 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 3 + 52 + 18 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2797352185637) and next prime (2797352185723).

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 191 ways as a sum of consecutive naturals, for example, 7622212857 + ... + 7622213223.

It is an arithmetic number, because the mean of its divisors is an integer number (11053986944).

Almost surely, 2^{2797352185680} is an apocalyptic number.

2797352185680 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 2797352185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305913733120).

2797352185680 is an abundant number, since it is smaller than the sum of its proper divisors (7814475280560).

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

2797352185680 is a wasteful number, since it uses less digits than its factorization.

2797352185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 2797352185680 in words is "two trillion, seven hundred ninety-seven billion, three hundred fifty-two million, one hundred eighty-five thousand, six hundred eighty".