2264583810048 has 352 divisors, whose sum is σ = 7052076794880. Its totient is φ = 632675696640.

The previous prime is 2264583810029. The next prime is 2264583810169. The reversal of 2264583810048 is 8400183854622.

It is a super-2 number, since 2×2264583810048² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354447238 + ... + 354453626.

Almost surely, 2^{2264583810048} is an apocalyptic number.

2264583810048 is a gapful number since it is divisible by the number (28) 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 2264583810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526038397440).

2264583810048 is an abundant number, since it is smaller than the sum of its proper divisors (4787492984832).

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

2264583810048 is a wasteful number, since it uses less digits than its factorization.

2264583810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 2264583810048 in words is "two trillion, two hundred sixty-four billion, five hundred eighty-three million, eight hundred ten thousand, forty-eight".