2262101856 has 288 divisors, whose sum is σ = 7290132192. Its totient is φ = 611573760.

The previous prime is 2262101813. The next prime is 2262101861. The reversal of 2262101856 is 6581012622.

2262101856 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 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, 7135810 + ... + 7136126.

It is an arithmetic number, because the mean of its divisors is an integer number (25312959).

Almost surely, 2^2262101856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645066096).

2262101856 is an abundant number, since it is smaller than the sum of its proper divisors (5028030336).

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

2262101856 is a wasteful number, since it uses less digits than its factorization.

2262101856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2262101856 is about 47561.5585951512. The cubic root of 2262101856 is about 1312.7158187325.

The spelling of 2262101856 in words is "two billion, two hundred sixty-two million, one hundred one thousand, eight hundred fifty-six".