2266082058240 has 3584 divisors, whose sum is σ = 11414521036800. Its totient is φ = 411083735040.

The previous prime is 2266082058239. The next prime is 2266082058283. The reversal of 2266082058240 is 428502806622.

2266082058240 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 0 + 8 + 20 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25461596116 + ... + 25461596204.

It is an arithmetic number, because the mean of its divisors is an integer number (3184855200).

Almost surely, 2^{2266082058240} is an apocalyptic number.

2266082058240 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 2266082058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707260518400).

2266082058240 is an abundant number, since it is smaller than the sum of its proper divisors (9148438978560).

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

2266082058240 is a wasteful number, since it uses less digits than its factorization.

2266082058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2266082058240 in words is "two trillion, two hundred sixty-six billion, eighty-two million, fifty-eight thousand, two hundred forty".