2260705489920 has 880 divisors, whose sum is σ = 8551502657280. Its totient is φ = 569950470144.

The previous prime is 2260705489919. The next prime is 2260705489927. The reversal of 2260705489920 is 299845070622.

2260705489920 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 7 + 0 + 548 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×2260705489920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260705489927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 848930509 + ... + 848933171.

It is an arithmetic number, because the mean of its divisors is an integer number (9717616656).

Almost surely, 2^{2260705489920} is an apocalyptic number.

2260705489920 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 2260705489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275751328640).

2260705489920 is an abundant number, since it is smaller than the sum of its proper divisors (6290797167360).

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

2260705489920 is a wasteful number, since it uses less digits than its factorization.

2260705489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2260705489920 in words is "two trillion, two hundred sixty billion, seven hundred five million, four hundred eighty-nine thousand, nine hundred twenty".