2261286720 has 840 divisors, whose sum is σ = 10202704512. Its totient is φ = 465315840.

The previous prime is 2261286707. The next prime is 2261286733. The reversal of 2261286720 is 276821622.

It is an interprime number because it is at equal distance from previous prime (2261286707) and next prime (2261286733).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×2261286720² = 10226835260096716800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954189 + ... + 21954291.

Almost surely, 2^2261286720 is an apocalyptic number.

2261286720 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 2261286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101352256).

2261286720 is an abundant number, since it is smaller than the sum of its proper divisors (7941417792).

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

2261286720 is a wasteful number, since it uses less digits than its factorization.

2261286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2261286720 is about 47552.9885496169. The cubic root of 2261286720 is about 1312.5581231403.

The spelling of 2261286720 in words is "two billion, two hundred sixty-one million, two hundred eighty-six thousand, seven hundred twenty".