2249740800 has 360 divisors, whose sum is σ = 8212398480. Its totient is φ = 587980800.

The previous prime is 2249740799. The next prime is 2249740811. The reversal of 2249740800 is 80479422.

2249740800 is a `hidden beast` number, since 2 + 249 + 7 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2249740800² = 10122667334369280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6796635 + ... + 6796965.

It is an arithmetic number, because the mean of its divisors is an integer number (22812218).

Almost surely, 2^2249740800 is an apocalyptic number.

2249740800 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 2249740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106199240).

2249740800 is an abundant number, since it is smaller than the sum of its proper divisors (5962657680).

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

2249740800 is a wasteful number, since it uses less digits than its factorization.

2249740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2249740800 is about 47431.4326159352. The cubic root of 2249740800 is about 1310.3203769373.

The spelling of 2249740800 in words is "two billion, two hundred forty-nine million, seven hundred forty thousand, eight hundred".