2114376264 has 576 divisors, whose sum is σ = 8151091200. Its totient is φ = 502951680.

The previous prime is 2114376247. The next prime is 2114376289. The reversal of 2114376264 is 4626734112.

2114376264 is a `hidden beast` number, since 21 + 1 + 4 + 3 + 7 + 626 + 4 = 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 143 ways as a sum of consecutive naturals, for example, 16648569 + ... + 16648695.

It is an arithmetic number, because the mean of its divisors is an integer number (14151200).

Almost surely, 2^2114376264 is an apocalyptic number.

2114376264 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 2114376264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075545600).

2114376264 is an abundant number, since it is smaller than the sum of its proper divisors (6036714936).

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

2114376264 is a wasteful number, since it uses less digits than its factorization.

2114376264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2114376264 is about 45982.3473085052. The cubic root of 2114376264 is about 1283.4947352556.

The spelling of 2114376264 in words is "two billion, one hundred fourteen million, three hundred seventy-six thousand, two hundred sixty-four".