2253576000 has 448 divisors, whose sum is σ = 8307726336. Its totient is φ = 534528000.

The previous prime is 2253575971. The next prime is 2253576019. The reversal of 2253576000 is 6753522.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 9671884 + ... + 9672116.

It is an arithmetic number, because the mean of its divisors is an integer number (18544032).

Almost surely, 2^2253576000 is an apocalyptic number.

2253576000 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 2253576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153863168).

2253576000 is an abundant number, since it is smaller than the sum of its proper divisors (6054150336).

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

2253576000 is a wasteful number, since it uses less digits than its factorization.

2253576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2253576000 is about 47471.8442869034. The cubic root of 2253576000 is about 1311.0645349303.

The spelling of 2253576000 in words is "two billion, two hundred fifty-three million, five hundred seventy-six thousand".