2261793590784 has 800 divisors, whose sum is σ = 8746328532480. Its totient is φ = 565103443968.

The previous prime is 2261793590773. The next prime is 2261793590801. The reversal of 2261793590784 is 4870953971622.

2261793590784 is a `hidden beast` number, since 2 + 2 + 617 + 9 + 3 + 5 + 9 + 0 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71689317 + ... + 71720859.

It is a 1-persistent number, because it is pandigital, but 2⋅2261793590784 = 4523587181568 is not.

Almost surely, 2^{2261793590784} is an apocalyptic number.

2261793590784 is a gapful number since it is divisible by the number (24) 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 2261793590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373164266240).

2261793590784 is an abundant number, since it is smaller than the sum of its proper divisors (6484534941696).

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

2261793590784 is a wasteful number, since it uses less digits than its factorization.

2261793590784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31612 (or 31587 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2261793590784 in words is "two trillion, two hundred sixty-one billion, seven hundred ninety-three million, five hundred ninety thousand, seven hundred eighty-four".