2968370012160 has 2520 divisors, whose sum is σ = 13464311537160. Its totient is φ = 622040186880.

The previous prime is 2968370012147. The next prime is 2968370012173. The reversal of 2968370012160 is 612100738692.

2968370012160 is a `hidden beast` number, since 2 + 9 + 68 + 370 + 0 + 1 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2968370012147) and next prime (2968370012173).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×2968370012160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 95753871345 + ... + 95753871375.

Almost surely, 2^{2968370012160} is an apocalyptic number.

2968370012160 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 2968370012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732155768580).

2968370012160 is an abundant number, since it is smaller than the sum of its proper divisors (10495941525000).

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

2968370012160 is an equidigital number, since it uses as much as digits as its factorization.

2968370012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2968370012160 in words is "two trillion, nine hundred sixty-eight billion, three hundred seventy million, twelve thousand, one hundred sixty".