2249601484800 has 288 divisors, whose sum is σ = 7609838876640. Its totient is φ = 585940992000.

The previous prime is 2249601484799. The next prime is 2249601484841. The reversal of 2249601484800 is 84841069422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2249601484800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6434500 + ... + 6775100.

It is an arithmetic number, because the mean of its divisors is an integer number (26423051655).

Almost surely, 2^{2249601484800} is an apocalyptic number.

2249601484800 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 2249601484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804919438320).

2249601484800 is an abundant number, since it is smaller than the sum of its proper divisors (5360237391840).

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

2249601484800 is a wasteful number, since it uses less digits than its factorization.

2249601484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340679 (or 340654 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 2249601484800 in words is "two trillion, two hundred forty-nine billion, six hundred one million, four hundred eighty-four thousand, eight hundred".