2167615072 has 48 divisors (see below), whose sum is σ = 4898547360. Its totient is φ = 924899328.

The previous prime is 2167615069. The next prime is 2167615097. The reversal of 2167615072 is 2705167612.

It is a congruent number.

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, 30168 + ... + 72424.

It is an arithmetic number, because the mean of its divisors is an integer number (102053070).

Almost surely, 2^2167615072 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 2167615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449273680).

2167615072 is an abundant number, since it is smaller than the sum of its proper divisors (2730932288).

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

2167615072 is a wasteful number, since it uses less digits than its factorization.

2167615072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42503 (or 42495 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 2167615072 is about 46557.6532054613. The cubic root of 2167615072 is about 1294.1781226291.

The spelling of 2167615072 in words is "two billion, one hundred sixty-seven million, six hundred fifteen thousand, seventy-two".