2813208783840 has 1728 divisors, whose sum is σ = 12540520137600. Its totient is φ = 592568524800.

The previous prime is 2813208783811. The next prime is 2813208783859. The reversal of 2813208783840 is 483878023182.

2813208783840 is a `hidden beast` number, since 281 + 3 + 208 + 7 + 83 + 84 + 0 = 666.

It is a super-2 number, since 2×2813208783840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4680879540 + ... + 4680880140.

It is an arithmetic number, because the mean of its divisors is an integer number (7257245450).

Almost surely, 2^{2813208783840} is an apocalyptic number.

2813208783840 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 2813208783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270260068800).

2813208783840 is an abundant number, since it is smaller than the sum of its proper divisors (9727311353760).

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

2813208783840 is an frugal number, since it uses more digits than its factorization.

2813208783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2813208783840 in words is "two trillion, eight hundred thirteen billion, two hundred eight million, seven hundred eighty-three thousand, eight hundred forty".