2797661916000 has 3456 divisors, whose sum is σ = 13346362358784. Its totient is φ = 561663590400.

The previous prime is 2797661915987. The next prime is 2797661916001. The reversal of 2797661916000 is 6191667972.

2797661916000 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 6 + 619 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2797661916001) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 41756147967 + ... + 41756148033.

It is an arithmetic number, because the mean of its divisors is an integer number (3861794664).

Almost surely, 2^{2797661916000} is an apocalyptic number.

2797661916000 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 2797661916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673181179392).

2797661916000 is an abundant number, since it is smaller than the sum of its proper divisors (10548700442784).

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

2797661916000 is a wasteful number, since it uses less digits than its factorization.

2797661916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 2797661916000 in words is "two trillion, seven hundred ninety-seven billion, six hundred sixty-one million, nine hundred sixteen thousand".