2263994460 has 288 divisors, whose sum is σ = 8552718720. Its totient is φ = 472006656.

The previous prime is 2263994441. The next prime is 2263994483. The reversal of 2263994460 is 644993622.

2263994460 is a `hidden beast` number, since 2 + 2 + 639 + 9 + 4 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1457044 + ... + 1458596.

It is an arithmetic number, because the mean of its divisors is an integer number (29696940).

Almost surely, 2^2263994460 is an apocalyptic number.

2263994460 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 2263994460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276359360).

2263994460 is an abundant number, since it is smaller than the sum of its proper divisors (6288724260).

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

2263994460 is a wasteful number, since it uses less digits than its factorization.

2263994460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2263994460 is about 47581.4507975535. The cubic root of 2263994460 is about 1313.0818144320.

The spelling of 2263994460 in words is "two billion, two hundred sixty-three million, nine hundred ninety-four thousand, four hundred sixty".