2244960162432 has 768 divisors, whose sum is σ = 7457470675200. Its totient is φ = 642960654336.

The previous prime is 2244960162427. The next prime is 2244960162451. The reversal of 2244960162432 is 2342610694422.

2244960162432 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 9 + 601 + 6 + 2 + 4 + 32 = 666.

It is a super-2 number, since 2×2244960162432² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2053942878 + ... + 2053943970.

It is an arithmetic number, because the mean of its divisors is an integer number (9710248275).

Almost surely, 2^{2244960162432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244960162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728735337600).

2244960162432 is an abundant number, since it is smaller than the sum of its proper divisors (5212510512768).

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

2244960162432 is a wasteful number, since it uses less digits than its factorization.

2244960162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2244960162432 in words is "two trillion, two hundred forty-four billion, nine hundred sixty million, one hundred sixty-two thousand, four hundred thirty-two".