2259670140 has 576 divisors, whose sum is σ = 8982005760. Its totient is φ = 447068160.

The previous prime is 2259670129. The next prime is 2259670159. The reversal of 2259670140 is 410769522.

2259670140 is a `hidden beast` number, since 22 + 596 + 7 + 0 + 1 + 40 = 666.

It is a super-2 number, since 2×2259670140² = 10212218283215239200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2259670095 and 2259670104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31826305 + ... + 31826375.

It is an arithmetic number, because the mean of its divisors is an integer number (15593760).

Almost surely, 2^2259670140 is an apocalyptic number.

2259670140 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 2259670140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491002880).

2259670140 is an abundant number, since it is smaller than the sum of its proper divisors (6722335620).

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

2259670140 is a wasteful number, since it uses less digits than its factorization.

2259670140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2259670140 is about 47535.9878407928. The cubic root of 2259670140 is about 1312.2452686599.

The spelling of 2259670140 in words is "two billion, two hundred fifty-nine million, six hundred seventy thousand, one hundred forty".