2187141264 has 600 divisors, whose sum is σ = 8374392576. Its totient is φ = 544320000.

The previous prime is 2187141259. The next prime is 2187141317. The reversal of 2187141264 is 4621417812.

It is a happy number.

2187141264 is a `hidden beast` number, since 2 + 187 + 1 + 412 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21654814 + ... + 21654914.

Almost surely, 2^2187141264 is an apocalyptic number.

2187141264 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 2187141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187196288).

2187141264 is an abundant number, since it is smaller than the sum of its proper divisors (6187251312).

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

2187141264 is a wasteful number, since it uses less digits than its factorization.

2187141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2187141264 is about 46766.8821282753. The cubic root of 2187141264 is about 1298.0525602666.

The spelling of 2187141264 in words is "two billion, one hundred eighty-seven million, one hundred forty-one thousand, two hundred sixty-four".