2813363280 has 600 divisors, whose sum is σ = 12125152512. Its totient is φ = 591971328.

The previous prime is 2813363261. The next prime is 2813363347. The reversal of 2813363280 is 823633182.

2813363280 is a `hidden beast` number, since 2 + 8 + 13 + 3 + 632 + 8 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 7665657 + ... + 7666023.

Almost surely, 2^2813363280 is an apocalyptic number.

2813363280 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 2813363280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062576256).

2813363280 is an abundant number, since it is smaller than the sum of its proper divisors (9311789232).

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

2813363280 is a wasteful number, since it uses less digits than its factorization.

2813363280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2813363280 is about 53041.1470464205. The cubic root of 2813363280 is about 1411.6984512289.

The spelling of 2813363280 in words is "two billion, eight hundred thirteen million, three hundred sixty-three thousand, two hundred eighty".