2249646981120 has 3600 divisors, whose sum is σ = 11129752462752. Its totient is φ = 428070666240.

The previous prime is 2249646981119. The next prime is 2249646981173. The reversal of 2249646981120 is 211896469422.

2249646981120 is a `hidden beast` number, since 2 + 2 + 4 + 96 + 469 + 81 + 12 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 60801269742 + ... + 60801269778.

Almost surely, 2^{2249646981120} is an apocalyptic number.

2249646981120 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 2249646981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564876231376).

2249646981120 is an abundant number, since it is smaller than the sum of its proper divisors (8880105481632).

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

2249646981120 is a wasteful number, since it uses less digits than its factorization.

2249646981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2249646981120 in words is "two trillion, two hundred forty-nine billion, six hundred forty-six million, nine hundred eighty-one thousand, one hundred twenty".