2260645023000 has 2048 divisors, whose sum is σ = 9999463219200. Its totient is φ = 411070464000.

The previous prime is 2260645022947. The next prime is 2260645023023. The reversal of 2260645023000 is 3205460622.

It is a super-2 number, since 2×2260645023000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2733548587 + ... + 2733549413.

It is an arithmetic number, because the mean of its divisors is an integer number (4882550400).

Almost surely, 2^{2260645023000} is an apocalyptic number.

2260645023000 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 2260645023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999731609600).

2260645023000 is an abundant number, since it is smaller than the sum of its proper divisors (7738818196200).

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

2260645023000 is a wasteful number, since it uses less digits than its factorization.

2260645023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2260645023000 in words is "two trillion, two hundred sixty billion, six hundred forty-five million, twenty-three thousand".