2187648264 has 64 divisors (see below), whose sum is σ = 5860693440. Its totient is φ = 678041600.

The previous prime is 2187648257. The next prime is 2187648271. The reversal of 2187648264 is 4628467812.

It is an interprime number because it is at equal distance from previous prime (2187648257) and next prime (2187648271).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564 + ... + 66164.

It is an arithmetic number, because the mean of its divisors is an integer number (91573335).

Almost surely, 2^2187648264 is an apocalyptic number.

2187648264 is a gapful number since it is divisible by the number (24) 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 2187648264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930346720).

2187648264 is an abundant number, since it is smaller than the sum of its proper divisors (3673045176).

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

2187648264 is a wasteful number, since it uses less digits than its factorization.

2187648264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64710 (or 64706 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 2187648264 is about 46772.3023166489. The cubic root of 2187648264 is about 1298.1528527981.

The spelling of 2187648264 in words is "two billion, one hundred eighty-seven million, six hundred forty-eight thousand, two hundred sixty-four".