2261713860 has 192 divisors, whose sum is σ = 8063193600. Its totient is φ = 515579904.

The previous prime is 2261713843. The next prime is 2261713877. The reversal of 2261713860 is 683171622.

2261713860 is a `hidden beast` number, since 2 + 2 + 617 + 1 + 38 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261713843) and next prime (2261713877).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2241036 + ... + 2242044.

It is an arithmetic number, because the mean of its divisors is an integer number (41995800).

Almost surely, 2^2261713860 is an apocalyptic number.

2261713860 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 2261713860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031596800).

2261713860 is an abundant number, since it is smaller than the sum of its proper divisors (5801479740).

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

2261713860 is a wasteful number, since it uses less digits than its factorization.

2261713860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2261713860 is about 47557.4795379234. The cubic root of 2261713860 is about 1312.6407620460.

The spelling of 2261713860 in words is "two billion, two hundred sixty-one million, seven hundred thirteen thousand, eight hundred sixty".