2249735644800 has 3072 divisors, whose sum is σ = 10551467520000. Its totient is φ = 456497233920.

The previous prime is 2249735644753. The next prime is 2249735644811. The reversal of 2249735644800 is 84465379422.

It is a happy number.

2249735644800 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 73 + 564 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×2249735644800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14329526322 + ... + 14329526478.

It is an arithmetic number, because the mean of its divisors is an integer number (3434722500).

Almost surely, 2^{2249735644800} is an apocalyptic number.

2249735644800 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 2249735644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275733760000).

2249735644800 is an abundant number, since it is smaller than the sum of its proper divisors (8301731875200).

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

2249735644800 is a wasteful number, since it uses less digits than its factorization.

2249735644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2249735644800 in words is "two trillion, two hundred forty-nine billion, seven hundred thirty-five million, six hundred forty-four thousand, eight hundred".