2641227264 has 480 divisors, whose sum is σ = 9008423424. Its totient is φ = 766402560.

The previous prime is 2641227263. The next prime is 2641227283. The reversal of 2641227264 is 4627221462.

2641227264 is a `hidden beast` number, since 2 + 641 + 2 + 2 + 7 + 2 + 6 + 4 = 666.

2641227264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

Its product of digits (64512) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641227263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37200349 + ... + 37200419.

Almost surely, 2^2641227264 is an apocalyptic number.

2641227264 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 2641227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2641227264 is an abundant number, since it is smaller than the sum of its proper divisors (6367196160).

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

2641227264 is an equidigital number, since it uses as much as digits as its factorization.

2641227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2641227264 is about 51392.8717236155. The cubic root of 2641227264 is about 1382.2987773106.

The spelling of 2641227264 in words is "two billion, six hundred forty-one million, two hundred twenty-seven thousand, two hundred sixty-four".