2145884664 has 96 divisors (see below), whose sum is σ = 6739205760. Its totient is φ = 557367360.

The previous prime is 2145884633. The next prime is 2145884677. The reversal of 2145884664 is 4664885412.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32454 + ... + 73109.

It is an arithmetic number, because the mean of its divisors is an integer number (70200060).

Almost surely, 2^2145884664 is an apocalyptic number.

2145884664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2145884664 is an abundant number, since it is smaller than the sum of its proper divisors (4593321096).

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

2145884664 is a wasteful number, since it uses less digits than its factorization.

2145884664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105601 (or 105586 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 2145884664 is about 46323.6944122552. The cubic root of 2145884664 is about 1289.8388645556.

The spelling of 2145884664 in words is "two billion, one hundred forty-five million, eight hundred eighty-four thousand, six hundred sixty-four".