2261251520 has 112 divisors (see below), whose sum is σ = 5889650400. Its totient is φ = 820101120.

The previous prime is 2261251513. The next prime is 2261251537. The reversal of 2261251520 is 251521622.

2261251520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261251520² = 10226516873404620800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261251520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002316 + ... + 2003444.

Almost surely, 2^2261251520 is an apocalyptic number.

2261251520 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 2261251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944825200).

2261251520 is an abundant number, since it is smaller than the sum of its proper divisors (3628398880).

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

2261251520 is a wasteful number, since it uses less digits than its factorization.

2261251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2261251520 is about 47552.6184347403. The cubic root of 2261251520 is about 1312.5513125215.

The spelling of 2261251520 in words is "two billion, two hundred sixty-one million, two hundred fifty-one thousand, five hundred twenty".