2277947664 has 80 divisors (see below), whose sum is σ = 6556276800. Its totient is φ = 757257984.

The previous prime is 2277947663. The next prime is 2277947701. The reversal of 2277947664 is 4667497722.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2277947664.

It is not an unprimeable number, because it can be changed into a prime (2277947663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156772 + ... + 170684.

It is an arithmetic number, because the mean of its divisors is an integer number (81953460).

Almost surely, 2^2277947664 is an apocalyptic number.

2277947664 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 2277947664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278138400).

2277947664 is an abundant number, since it is smaller than the sum of its proper divisors (4278329136).

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

2277947664 is a wasteful number, since it uses less digits than its factorization.

2277947664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14297 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 2277947664 is about 47727.8499830026. The cubic root of 2277947664 is about 1315.7738391792.

The spelling of 2277947664 in words is "two billion, two hundred seventy-seven million, nine hundred forty-seven thousand, six hundred sixty-four".