2997610167992 has 96 divisors (see below), whose sum is σ = 6217081925040. Its totient is φ = 1353939840000.

The previous prime is 2997610167973. The next prime is 2997610167997.

2997610167992 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2997610167992² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997610167997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105190898 + ... + 105219390.

Almost surely, 2^{2997610167992} is an apocalyptic number.

2997610167992 is a gapful number since it is divisible by the number (22) 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 2997610167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108540962520).

2997610167992 is an abundant number, since it is smaller than the sum of its proper divisors (3219471757048).

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

2997610167992 is a wasteful number, since it uses less digits than its factorization.

2997610167992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29205 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 68.

The spelling of 2997610167992 in words is "two trillion, nine hundred ninety-seven billion, six hundred ten million, one hundred sixty-seven thousand, nine hundred ninety-two".