2278736964 has 144 divisors (see below), whose sum is σ = 6935219200. Its totient is φ = 629959680.

The previous prime is 2278736963. The next prime is 2278736987. The reversal of 2278736964 is 4696378722.

2278736964 is a `hidden beast` number, since 2 + 278 + 7 + 369 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2278736964.

It is not an unprimeable number, because it can be changed into a prime (2278736963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379812 + ... + 385764.

Almost surely, 2^2278736964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278736964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467609600).

2278736964 is an abundant number, since it is smaller than the sum of its proper divisors (4656482236).

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

2278736964 is a wasteful number, since it uses less digits than its factorization.

2278736964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 5996 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2278736964 is about 47736.1180239868. The cubic root of 2278736964 is about 1315.9257918017.

The spelling of 2278736964 in words is "two billion, two hundred seventy-eight million, seven hundred thirty-six thousand, nine hundred sixty-four".