2968267161600 has 2304 divisors, whose sum is σ = 12589195906560. Its totient is φ = 687970713600.

The previous prime is 2968267161593. The next prime is 2968267161641. The reversal of 2968267161600 is 61617628692.

2968267161600 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 26 + 7 + 1 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80223436782 + ... + 80223436818.

Almost surely, 2^{2968267161600} is an apocalyptic number.

2968267161600 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 2968267161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294597953280).

2968267161600 is an abundant number, since it is smaller than the sum of its proper divisors (9620928744960).

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

2968267161600 is an equidigital number, since it uses as much as digits as its factorization.

2968267161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2968267161600 in words is "two trillion, nine hundred sixty-eight billion, two hundred sixty-seven million, one hundred sixty-one thousand, six hundred".