2262546432 has 240 divisors, whose sum is σ = 7063776720. Its totient is φ = 720175104.

The previous prime is 2262546427. The next prime is 2262546469. The reversal of 2262546432 is 2346452622.

2262546432 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 5 + 4 + 643 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3815128 + ... + 3815720.

It is an arithmetic number, because the mean of its divisors is an integer number (29432403).

Almost surely, 2^2262546432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531888360).

2262546432 is an abundant number, since it is smaller than the sum of its proper divisors (4801230288).

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

2262546432 is an equidigital number, since it uses as much as digits as its factorization.

2262546432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 621 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2262546432 is about 47566.2320559449. The cubic root of 2262546432 is about 1312.8018101035.

The spelling of 2262546432 in words is "two billion, two hundred sixty-two million, five hundred forty-six thousand, four hundred thirty-two".