2260557600 has 288 divisors, whose sum is σ = 8459458560. Its totient is φ = 513623040.

The previous prime is 2260557577. The next prime is 2260557613. The reversal of 2260557600 is 67550622.

2260557600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260557600² = 10220241325835520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4014919 + ... + 4015481.

It is an arithmetic number, because the mean of its divisors is an integer number (29373120).

Almost surely, 2^2260557600 is an apocalyptic number.

2260557600 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 2260557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229729280).

2260557600 is an abundant number, since it is smaller than the sum of its proper divisors (6198900960).

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

2260557600 is a wasteful number, since it uses less digits than its factorization.

2260557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2260557600 is about 47545.3215364036. The cubic root of 2260557600 is about 1312.4170360257.

The spelling of 2260557600 in words is "two billion, two hundred sixty million, five hundred fifty-seven thousand, six hundred".