2249856000 has 880 divisors, whose sum is σ = 9891628032. Its totient is φ = 497664000.

The previous prime is 2249855983. The next prime is 2249856053. The reversal of 2249856000 is 6589422.

It is a happy number.

2249856000 is a `hidden beast` number, since 2 + 2 + 4 + 98 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575985 + ... + 72576015.

Almost surely, 2^2249856000 is an apocalyptic number.

2249856000 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 2249856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945814016).

2249856000 is an abundant number, since it is smaller than the sum of its proper divisors (7641772032).

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

2249856000 is an equidigital number, since it uses as much as digits as its factorization.

2249856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2249856000 is about 47432.6469849617. The cubic root of 2249856000 is about 1310.3427419332.

The spelling of 2249856000 in words is "two billion, two hundred forty-nine million, eight hundred fifty-six thousand".