2252380003632 has 640 divisors, whose sum is σ = 7377127833600. Its totient is φ = 651817497600.

The previous prime is 2252380003607. The next prime is 2252380003651. The reversal of 2252380003632 is 2363000832522.

2252380003632 is a `hidden beast` number, since 22 + 523 + 80 + 0 + 0 + 3 + 6 + 32 = 666.

It is a super-2 number, since 2×2252380003632² (a number of 26 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6491008483 + ... + 6491008829.

It is an arithmetic number, because the mean of its divisors is an integer number (11526762240).

Almost surely, 2^{2252380003632} is an apocalyptic number.

2252380003632 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 2252380003632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688563916800).

2252380003632 is an abundant number, since it is smaller than the sum of its proper divisors (5124747829968).

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

2252380003632 is a wasteful number, since it uses less digits than its factorization.

2252380003632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2252380003632 in words is "two trillion, two hundred fifty-two billion, three hundred eighty million, three thousand, six hundred thirty-two".