2641452264 has 144 divisors (see below), whose sum is σ = 8031965760. Its totient is φ = 783288000.

The previous prime is 2641452251. The next prime is 2641452301. The reversal of 2641452264 is 4622541462.

2641452264 is a `hidden beast` number, since 2 + 64 + 14 + 522 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406239 + ... + 412689.

It is an arithmetic number, because the mean of its divisors is an integer number (55777540).

Almost surely, 2^2641452264 is an apocalyptic number.

2641452264 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 2641452264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015982880).

2641452264 is an abundant number, since it is smaller than the sum of its proper divisors (5390513496).

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

2641452264 is a wasteful number, since it uses less digits than its factorization.

2641452264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6514 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2641452264 is about 51395.0606965300. The cubic root of 2641452264 is about 1382.3380278007.

The spelling of 2641452264 in words is "two billion, six hundred forty-one million, four hundred fifty-two thousand, two hundred sixty-four".