2282964264 has 160 divisors (see below), whose sum is σ = 7338988800. Its totient is φ = 649503360.

The previous prime is 2282964251. The next prime is 2282964283. The reversal of 2282964264 is 4624692822.

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 39 ways as a sum of consecutive naturals, for example, 1219249 + ... + 1221119.

It is an arithmetic number, because the mean of its divisors is an integer number (45868680).

Almost surely, 2^2282964264 is an apocalyptic number.

2282964264 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 2282964264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669494400).

2282964264 is an abundant number, since it is smaller than the sum of its proper divisors (5056024536).

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

2282964264 is a wasteful number, since it uses less digits than its factorization.

2282964264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2152 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2282964264 is about 47780.3753020003. The cubic root of 2282964264 is about 1316.7390166799.

The spelling of 2282964264 in words is "two billion, two hundred eighty-two million, nine hundred sixty-four thousand, two hundred sixty-four".