2228526432 has 240 divisors, whose sum is σ = 7306371072. Its totient is φ = 660545280.

The previous prime is 2228526427. The next prime is 2228526493. The reversal of 2228526432 is 2346258222.

2228526432 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 5 + 2 + 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 39 ways as a sum of consecutive naturals, for example, 1339233 + ... + 1340895.

Almost surely, 2^2228526432 is an apocalyptic number.

2228526432 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 2228526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653185536).

2228526432 is an abundant number, since it is smaller than the sum of its proper divisors (5077844640).

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

2228526432 is a wasteful number, since it uses less digits than its factorization.

2228526432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1726 counting only the distinct ones).

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

The square root of 2228526432 is about 47207.2709653926. The cubic root of 2228526432 is about 1306.1887226522.

The spelling of 2228526432 in words is "two billion, two hundred twenty-eight million, five hundred twenty-six thousand, four hundred thirty-two".