2264536080 has 60 divisors (see below), whose sum is σ = 7605069420. Its totient is φ = 603876096.

The previous prime is 2264536063. The next prime is 2264536091. The reversal of 2264536080 is 806354622.

2264536080 is a `hidden beast` number, since 2 + 2 + 6 + 45 + 3 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 267518736 + 1997017344 = 16356^2 + 44688^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1571875 + ... + 1573314.

It is an arithmetic number, because the mean of its divisors is an integer number (126751157).

Almost surely, 2^2264536080 is an apocalyptic number.

2264536080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264536080 is an abundant number, since it is smaller than the sum of its proper divisors (5340533340).

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

2264536080 is a wasteful number, since it uses less digits than its factorization.

2264536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145208 (or 3145199 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2264536080 is about 47587.1419608280. The cubic root of 2264536080 is about 1313.1865164942.

The spelling of 2264536080 in words is "two billion, two hundred sixty-four million, five hundred thirty-six thousand, eighty".