2167551616 has 64 divisors (see below), whose sum is σ = 4609828800. Its totient is φ = 1012193280.

The previous prime is 2167551601. The next prime is 2167551641. The reversal of 2167551616 is 6161557612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2167551616² = 9396560016048422912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166396 + ... + 178948.

It is an arithmetic number, because the mean of its divisors is an integer number (72028575).

Almost surely, 2^2167551616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304914400).

2167551616 is an abundant number, since it is smaller than the sum of its proper divisors (2442277184).

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

2167551616 is a wasteful number, since it uses less digits than its factorization.

2167551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657 (or 12645 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 2167551616 is about 46556.9717228258. The cubic root of 2167551616 is about 1294.1654936696.

The spelling of 2167551616 in words is "two billion, one hundred sixty-seven million, five hundred fifty-one thousand, six hundred sixteen".