2262332451456 has 2304 divisors, whose sum is σ = 9218837422080. Its totient is φ = 516276633600.

The previous prime is 2262332451367. The next prime is 2262332451527. The reversal of 2262332451456 is 6541542332622.

2262332451456 is a `hidden beast` number, since 2 + 2 + 62 + 3 + 3 + 24 + 514 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42685517926 + ... + 42685517978.

It is an arithmetic number, because the mean of its divisors is an integer number (4001231520).

Almost surely, 2^{2262332451456} 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 2262332451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609418711040).

2262332451456 is an abundant number, since it is smaller than the sum of its proper divisors (6956504970624).

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

2262332451456 is a wasteful number, since it uses less digits than its factorization.

2262332451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 2262332451456 in words is "two trillion, two hundred sixty-two billion, three hundred thirty-two million, four hundred fifty-one thousand, four hundred fifty-six".