2260013255440 has 40 divisors (see below), whose sum is σ = 5292885084120. Its totient is φ = 897406718976.

The previous prime is 2260013255413. The next prime is 2260013255449. The reversal of 2260013255440 is 445523100622.

It can be written as a sum of positive squares in 4 ways, for example, as 617965787664 + 1642047467776 = 786108^2 + 1281424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2260013255396 and 2260013255405.

It is not an unprimeable number, because it can be changed into a prime (2260013255449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103091835 + ... + 103113754.

It is an arithmetic number, because the mean of its divisors is an integer number (132322127103).

Almost surely, 2^{2260013255440} is an apocalyptic number.

2260013255440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260013255440 is an abundant number, since it is smaller than the sum of its proper divisors (3032871828680).

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

2260013255440 is a wasteful number, since it uses less digits than its factorization.

2260013255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206205739 (or 206205733 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2260013255440 in words is "two trillion, two hundred sixty billion, thirteen million, two hundred fifty-five thousand, four hundred forty".