2264556882120 has 256 divisors, whose sum is σ = 7751714826240. Its totient is φ = 524294995968.

The previous prime is 2264556882053. The next prime is 2264556882143. The reversal of 2264556882120 is 212886554622.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 41529594 + ... + 41584086.

It is an arithmetic number, because the mean of its divisors is an integer number (30280136040).

Almost surely, 2^{2264556882120} is an apocalyptic number.

2264556882120 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 2264556882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875857413120).

2264556882120 is an abundant number, since it is smaller than the sum of its proper divisors (5487157944120).

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

2264556882120 is a wasteful number, since it uses less digits than its factorization.

2264556882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56104 (or 56100 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 2264556882120 in words is "two trillion, two hundred sixty-four billion, five hundred fifty-six million, eight hundred eighty-two thousand, one hundred twenty".