2262408744960 has 1560 divisors, whose sum is σ = 10164731340456. Its totient is φ = 477120430080.

The previous prime is 2262408744917. The next prime is 2262408744979. The reversal of 2262408744960 is 694478042622.

It is a happy number.

2262408744960 is a `hidden beast` number, since 2 + 2 + 62 + 4 + 0 + 87 + 449 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360922189824 + 1901486555136 = 600768^2 + 1378944^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2262408744897 and 2262408744906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1056705490 + ... + 1056707630.

Almost surely, 2^{2262408744960} is an apocalyptic number.

2262408744960 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 2262408744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082365670228).

2262408744960 is an abundant number, since it is smaller than the sum of its proper divisors (7902322595496).

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

2262408744960 is a wasteful number, since it uses less digits than its factorization.

2262408744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2262408744960 in words is "two trillion, two hundred sixty-two billion, four hundred eight million, seven hundred forty-four thousand, nine hundred sixty".