2255964900 has 324 divisors, whose sum is σ = 7867277712. Its totient is φ = 497589120.

The previous prime is 2255964899. The next prime is 2255964901. The reversal of 2255964900 is 94695522.

2255964900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2255964899) and next prime (2255964901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2255964901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27180259 + ... + 27180341.

Almost surely, 2^2255964900 is an apocalyptic number.

2255964900 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 2255964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933638856).

2255964900 is an abundant number, since it is smaller than the sum of its proper divisors (5611312812).

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

2255964900 is a wasteful number, since it uses less digits than its factorization.

2255964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2255964900 is about 47496.9988525591. The cubic root of 2255964900 is about 1311.5276353578.

The spelling of 2255964900 in words is "two billion, two hundred fifty-five million, nine hundred sixty-four thousand, nine hundred".