2813675760 has 240 divisors, whose sum is σ = 11051149824. Its totient is φ = 628121088.

The previous prime is 2813675759. The next prime is 2813675789. The reversal of 2813675760 is 675763182.

2813675760 is a `hidden beast` number, since 2 + 8 + 13 + 67 + 576 + 0 = 666.

2813675760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 210229 + ... + 223211.

Almost surely, 2^2813675760 is an apocalyptic number.

2813675760 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 2813675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525574912).

2813675760 is an abundant number, since it is smaller than the sum of its proper divisors (8237474064).

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

2813675760 is a wasteful number, since it uses less digits than its factorization.

2813675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2813675760 is about 53044.0926022870. The cubic root of 2813675760 is about 1411.7507150329.

The spelling of 2813675760 in words is "two billion, eight hundred thirteen million, six hundred seventy-five thousand, seven hundred sixty".