2245412440656 has 320 divisors, whose sum is σ = 8294745292800. Its totient is φ = 564410073600.

The previous prime is 2245412440561. The next prime is 2245412440669. The reversal of 2245412440656 is 6560442145422.

2245412440656 is a `hidden beast` number, since 2 + 2 + 4 + 541 + 2 + 4 + 40 + 65 + 6 = 666.

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, 57571 + ... + 2119938.

It is an arithmetic number, because the mean of its divisors is an integer number (25921079040).

Almost surely, 2^{2245412440656} 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 2245412440656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147372646400).

2245412440656 is an abundant number, since it is smaller than the sum of its proper divisors (6049332852144).

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

2245412440656 is a wasteful number, since it uses less digits than its factorization.

2245412440656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177575 (or 2177563 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 2245412440656 in words is "two trillion, two hundred forty-five billion, four hundred twelve million, four hundred forty thousand, six hundred fifty-six".