2253876800 has 168 divisors, whose sum is σ = 6444081600. Its totient is φ = 759859200.

The previous prime is 2253876791. The next prime is 2253876809. The reversal of 2253876800 is 86783522.

It is an interprime number because it is at equal distance from previous prime (2253876791) and next prime (2253876809).

It is not an unprimeable number, because it can be changed into a prime (2253876809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681551 + ... + 684849.

Almost surely, 2^2253876800 is an apocalyptic number.

2253876800 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 2253876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222040800).

2253876800 is an abundant number, since it is smaller than the sum of its proper divisors (4190204800).

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

2253876800 is a wasteful number, since it uses less digits than its factorization.

2253876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 2253876800 is about 47475.0123749326. The cubic root of 2253876800 is about 1311.1228645461.

The spelling of 2253876800 in words is "two billion, two hundred fifty-three million, eight hundred seventy-six thousand, eight hundred".