1802266560 has 336 divisors, whose sum is σ = 6637336992. Its totient is φ = 447283200.

The previous prime is 1802266553. The next prime is 1802266573. The reversal of 1802266560 is 656622081.

1802266560 is a `hidden beast` number, since 18 + 0 + 22 + 66 + 560 = 666.

1802266560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6413620 + ... + 6413900.

Almost surely, 2^1802266560 is an apocalyptic number.

1802266560 is a gapful number since it is divisible by the number (10) 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 1802266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318668496).

1802266560 is an abundant number, since it is smaller than the sum of its proper divisors (4835070432).

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

1802266560 is a wasteful number, since it uses less digits than its factorization.

1802266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1802266560 is about 42453.1101334166. The cubic root of 1802266560 is about 1216.9507655403.

The spelling of 1802266560 in words is "one billion, eight hundred two million, two hundred sixty-six thousand, five hundred sixty".