2249630772480 has 576 divisors, whose sum is σ = 9825324203520. Its totient is φ = 474646708224.

The previous prime is 2249630772439. The next prime is 2249630772511. The reversal of 2249630772480 is 842770369422.

2249630772480 is a `hidden beast` number, since 2 + 2 + 4 + 96 + 3 + 0 + 7 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2249630772480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787304 + ... + 3502616.

It is an arithmetic number, because the mean of its divisors is an integer number (17057854520).

Almost surely, 2^{2249630772480} is an apocalyptic number.

2249630772480 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 2249630772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912662101760).

2249630772480 is an abundant number, since it is smaller than the sum of its proper divisors (7575693431040).

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

2249630772480 is a wasteful number, since it uses less digits than its factorization.

2249630772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715363 (or 715343 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2249630772480 in words is "two trillion, two hundred forty-nine billion, six hundred thirty million, seven hundred seventy-two thousand, four hundred eighty".