2284263507456 has 480 divisors, whose sum is σ = 8078286289920. Its totient is φ = 624256782336.

The previous prime is 2284263507443. The next prime is 2284263507467. The reversal of 2284263507456 is 6547053624822.

2284263507456 is a `hidden beast` number, since 2 + 2 + 84 + 2 + 6 + 3 + 507 + 4 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51167961 + ... + 51212583.

It is an arithmetic number, because the mean of its divisors is an integer number (16829763104).

Almost surely, 2^{2284263507456} 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 2284263507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039143144960).

2284263507456 is an abundant number, since it is smaller than the sum of its proper divisors (5794022782464).

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

2284263507456 is an equidigital number, since it uses as much as digits as its factorization.

2284263507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44703 (or 44658 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2284263507456 in words is "two trillion, two hundred eighty-four billion, two hundred sixty-three million, five hundred seven thousand, four hundred fifty-six".