2264641632 has 192 divisors, whose sum is σ = 7243084800. Its totient is φ = 682698240.

The previous prime is 2264641627. The next prime is 2264641649. The reversal of 2264641632 is 2361464622.

2264641632 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 641 + 6 + 3 + 2 = 666.

It is a super-3 number, since 3×2264641632³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270958 + ... + 2271954.

It is an arithmetic number, because the mean of its divisors is an integer number (37724400).

Almost surely, 2^2264641632 is an apocalyptic number.

2264641632 is a gapful number since it is divisible by the number (22) 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 2264641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621542400).

2264641632 is an abundant number, since it is smaller than the sum of its proper divisors (4978443168).

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

2264641632 is a wasteful number, since it uses less digits than its factorization.

2264641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2264641632 is about 47588.2509869821. The cubic root of 2264641632 is about 1313.2069190998.

The spelling of 2264641632 in words is "two billion, two hundred sixty-four million, six hundred forty-one thousand, six hundred thirty-two".