2260346212080 has 240 divisors, whose sum is σ = 8323128294624. Its totient is φ = 545180805120.

The previous prime is 2260346212057. The next prime is 2260346212123. The reversal of 2260346212080 is 802126430622.

2260346212080 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 3 + 4 + 621 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 835882 + ... + 2284598.

Almost surely, 2^{2260346212080} is an apocalyptic number.

2260346212080 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 2260346212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161564147312).

2260346212080 is an abundant number, since it is smaller than the sum of its proper divisors (6062782082544).

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

2260346212080 is a wasteful number, since it uses less digits than its factorization.

2260346212080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448944 (or 1448935 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2260346212080 in words is "two trillion, two hundred sixty billion, three hundred forty-six million, two hundred twelve thousand, eighty".