2249258621760 has 1344 divisors, whose sum is σ = 8691958679040. Its totient is φ = 552247787520.

The previous prime is 2249258621749. The next prime is 2249258621773. The reversal of 2249258621760 is 671268529422.

2249258621760 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 2 + 5 + 8 + 621 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2249258621697 and 2249258621706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5782155646 + ... + 5782156034.

It is an arithmetic number, because the mean of its divisors is an integer number (6467231160).

Almost surely, 2^{2249258621760} is an apocalyptic number.

2249258621760 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 2249258621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345979339520).

2249258621760 is an abundant number, since it is smaller than the sum of its proper divisors (6442700057280).

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

2249258621760 is a wasteful number, since it uses less digits than its factorization.

2249258621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2249258621760 in words is "two trillion, two hundred forty-nine billion, two hundred fifty-eight million, six hundred twenty-one thousand, seven hundred sixty".