2254636800 has 324 divisors, whose sum is σ = 8683782744. Its totient is φ = 554803200.

The previous prime is 2254636793. The next prime is 2254636807. The reversal of 2254636800 is 86364522.

2254636800 is a `hidden beast` number, since 2 + 2 + 546 + 36 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2254636793) and next prime (2254636807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254636807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747295 + ... + 750305.

Almost surely, 2^2254636800 is an apocalyptic number.

2254636800 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 2254636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341891372).

2254636800 is an abundant number, since it is smaller than the sum of its proper divisors (6429145944).

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

2254636800 is a wasteful number, since it uses less digits than its factorization.

2254636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2254636800 is about 47483.0159109549. The cubic root of 2254636800 is about 1311.2702167879.

The spelling of 2254636800 in words is "two billion, two hundred fifty-four million, six hundred thirty-six thousand, eight hundred".