2249162052480 has 1024 divisors, whose sum is σ = 9343330560000. Its totient is φ = 500728725504.

The previous prime is 2249162052479. The next prime is 2249162052493. The reversal of 2249162052480 is 842502619422.

2249162052480 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 162 + 0 + 5 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 806438926 + ... + 806441714.

It is an arithmetic number, because the mean of its divisors is an integer number (9124346250).

Almost surely, 2^{2249162052480} is an apocalyptic number.

2249162052480 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 2249162052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671665280000).

2249162052480 is an abundant number, since it is smaller than the sum of its proper divisors (7094168507520).

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

2249162052480 is a wasteful number, since it uses less digits than its factorization.

2249162052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2249162052480 in words is "two trillion, two hundred forty-nine billion, one hundred sixty-two million, fifty-two thousand, four hundred eighty".