2167261440 has 72 divisors (see below), whose sum is σ = 6921703488. Its totient is φ = 577935360.

The previous prime is 2167261433. The next prime is 2167261463. The reversal of 2167261440 is 441627612.

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, 278356 + ... + 286035.

Almost surely, 2^2167261440 is an apocalyptic number.

2167261440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2167261440 is an abundant number, since it is smaller than the sum of its proper divisors (4754442048).

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

2167261440 is an equidigital number, since it uses as much as digits as its factorization.

2167261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564415 (or 564401 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2167261440 is about 46553.8552646287. The cubic root of 2167261440 is about 1294.1077399468.

The spelling of 2167261440 in words is "two billion, one hundred sixty-seven million, two hundred sixty-one thousand, four hundred forty".