2245758936960 has 1536 divisors, whose sum is σ = 9716460986880. Its totient is φ = 434731745280.

The previous prime is 2245758936937. The next prime is 2245758936961. The reversal of 2245758936960 is 696398575422.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2245758936891 and 2245758936900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245758936961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1882446124 + ... + 1882447316.

It is an arithmetic number, because the mean of its divisors is an integer number (6325820955).

Almost surely, 2^{2245758936960} is an apocalyptic number.

2245758936960 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 2245758936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858230493440).

2245758936960 is an abundant number, since it is smaller than the sum of its proper divisors (7470702049920).

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

2245758936960 is a wasteful number, since it uses less digits than its factorization.

2245758936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 2245758936960 in words is "two trillion, two hundred forty-five billion, seven hundred fifty-eight million, nine hundred thirty-six thousand, nine hundred sixty".