2255672400 has 360 divisors, whose sum is σ = 7873496064. Its totient is φ = 551577600.

The previous prime is 2255672389. The next prime is 2255672411. The reversal of 2255672400 is 42765522.

It is an interprime number because it is at equal distance from previous prime (2255672389) and next prime (2255672411).

It is a super-2 number, since 2×2255672400² = 10176115952243520000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 17761137 + ... + 17761263.

Almost surely, 2^2255672400 is an apocalyptic number.

2255672400 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 2255672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936748032).

2255672400 is an abundant number, since it is smaller than the sum of its proper divisors (5617823664).

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

2255672400 is a wasteful number, since it uses less digits than its factorization.

2255672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2255672400 is about 47493.9196108302. The cubic root of 2255672400 is about 1311.4709503130.

The spelling of 2255672400 in words is "two billion, two hundred fifty-five million, six hundred seventy-two thousand, four hundred".