2255746000 has 80 divisors (see below), whose sum is σ = 5630496768. Its totient is φ = 873168000.

The previous prime is 2255745983. The next prime is 2255746027. The reversal of 2255746000 is 6475522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43809 + ... + 80191.

Almost surely, 2^2255746000 is an apocalyptic number.

2255746000 is a gapful number since it is divisible by the number (20) 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 2255746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815248384).

2255746000 is an abundant number, since it is smaller than the sum of its proper divisors (3374750768).

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

2255746000 is a wasteful number, since it uses less digits than its factorization.

2255746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36437 (or 36421 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2255746000 is about 47494.6944405373. The cubic root of 2255746000 is about 1311.4852140882.

The spelling of 2255746000 in words is "two billion, two hundred fifty-five million, seven hundred forty-six thousand".