2167561000 has 128 divisors (see below), whose sum is σ = 5590840320. Its totient is φ = 780000000.

The previous prime is 2167560991. The next prime is 2167561001. The reversal of 2167561000 is 1657612.

It is a self number, because there is not a number n which added to its sum of digits gives 2167561000.

It is not an unprimeable number, because it can be changed into a prime (2167561001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110025 + ... + 1111975.

It is an arithmetic number, because the mean of its divisors is an integer number (43678440).

Almost surely, 2^2167561000 is an apocalyptic number.

2167561000 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 2167561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795420160).

2167561000 is an abundant number, since it is smaller than the sum of its proper divisors (3423279320).

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

2167561000 is a wasteful number, since it uses less digits than its factorization.

2167561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2167561000 is about 46557.0725024673. The cubic root of 2167561000 is about 1294.1673612809.

The spelling of 2167561000 in words is "two billion, one hundred sixty-seven million, five hundred sixty-one thousand".