2260138645440 has 1568 divisors, whose sum is σ = 9290786803200. Its totient is φ = 519202897920.

The previous prime is 2260138645439. The next prime is 2260138645447. The reversal of 2260138645440 is 445468310622.

2260138645440 is a `hidden beast` number, since 2 + 2 + 60 + 138 + 6 + 454 + 4 + 0 = 666.

It is a super-2 number, since 2×2260138645440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260138645447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2726342946 + ... + 2726343774.

Almost surely, 2^{2260138645440} is an apocalyptic number.

2260138645440 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 2260138645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645393401600).

2260138645440 is an abundant number, since it is smaller than the sum of its proper divisors (7030648157760).

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

2260138645440 is a wasteful number, since it uses less digits than its factorization.

2260138645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2260138645440 in words is "two trillion, two hundred sixty billion, one hundred thirty-eight million, six hundred forty-five thousand, four hundred forty".