2256413500 has 48 divisors (see below), whose sum is σ = 5376020832. Its totient is φ = 820512000.

The previous prime is 2256413443. The next prime is 2256413501. The reversal of 2256413500 is 53146522.

2256413500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256413501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199629 + ... + 210628.

It is an arithmetic number, because the mean of its divisors is an integer number (112000434).

Almost surely, 2^2256413500 is an apocalyptic number.

2256413500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256413500 is an abundant number, since it is smaller than the sum of its proper divisors (3119607332).

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

2256413500 is a wasteful number, since it uses less digits than its factorization.

2256413500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410287 (or 410275 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2256413500 is about 47501.7210214535. The cubic root of 2256413500 is about 1311.6145622871.

The spelling of 2256413500 in words is "two billion, two hundred fifty-six million, four hundred thirteen thousand, five hundred".