2261848680 has 576 divisors, whose sum is σ = 9372879360. Its totient is φ = 462938112.

The previous prime is 2261848661. The next prime is 2261848697. The reversal of 2261848680 is 868481622.

2261848680 is a `hidden beast` number, since 22 + 618 + 4 + 8 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20016304 + ... + 20016416.

It is an arithmetic number, because the mean of its divisors is an integer number (16272360).

Almost surely, 2^2261848680 is an apocalyptic number.

2261848680 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 2261848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686439680).

2261848680 is an abundant number, since it is smaller than the sum of its proper divisors (7111030680).

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

2261848680 is a wasteful number, since it uses less digits than its factorization.

2261848680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2261848680 is about 47558.8969594544. The cubic root of 2261848680 is about 1312.6668435520. Note that the first 3 decimals are identical.

The spelling of 2261848680 in words is "two billion, two hundred sixty-one million, eight hundred forty-eight thousand, six hundred eighty".