2261021256 has 192 divisors, whose sum is σ = 7099228800. Its totient is φ = 665203968.

The previous prime is 2261021179. The next prime is 2261021263. The reversal of 2261021256 is 6521201622.

2261021256 is a `hidden beast` number, since 2 + 2 + 610 + 21 + 25 + 6 = 666.

It is a super-2 number, since 2×2261021256² = 10224434240167635072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 838246 + ... + 840938.

It is an arithmetic number, because the mean of its divisors is an integer number (36975150).

Almost surely, 2^2261021256 is an apocalyptic number.

2261021256 is a gapful number since it is divisible by the number (26) 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 2261021256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549614400).

2261021256 is an abundant number, since it is smaller than the sum of its proper divisors (4838207544).

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

2261021256 is a wasteful number, since it uses less digits than its factorization.

2261021256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2261021256 is about 47550.1972235658. The cubic root of 2261021256 is about 1312.5067584958.

Adding to 2261021256 its reverse (6521201622), we get a palindrome (8782222878).

The spelling of 2261021256 in words is "two billion, two hundred sixty-one million, twenty-one thousand, two hundred fifty-six".