2813173440 has 448 divisors, whose sum is σ = 11727728640. Its totient is φ = 553512960.

The previous prime is 2813173423. The next prime is 2813173453. The reversal of 2813173440 is 443713182.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403479 + ... + 1405481.

Almost surely, 2^2813173440 is an apocalyptic number.

2813173440 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 2813173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863864320).

2813173440 is an abundant number, since it is smaller than the sum of its proper divisors (8914555200).

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

2813173440 is a wasteful number, since it uses less digits than its factorization.

2813173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2813173440 is about 53039.3574621714. The cubic root of 2813173440 is about 1411.6666976733. Note that the first 4 decimals are identical.

The spelling of 2813173440 in words is "two billion, eight hundred thirteen million, one hundred seventy-three thousand, four hundred forty".