2813927040 has 640 divisors, whose sum is σ = 11090027520. Its totient is φ = 676823040.

The previous prime is 2813927033. The next prime is 2813927041. The reversal of 2813927040 is 407293182.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2813926986 and 2813927004.

It is not an unprimeable number, because it can be changed into a prime (2813927041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27319629 + ... + 27319731.

It is an arithmetic number, because the mean of its divisors is an integer number (17328168).

Almost surely, 2^2813927040 is an apocalyptic number.

2813927040 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 2813927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545013760).

2813927040 is an abundant number, since it is smaller than the sum of its proper divisors (8276100480).

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

2813927040 is a wasteful number, since it uses less digits than its factorization.

2813927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2813927040 is about 53046.4611449246. The cubic root of 2813927040 is about 1411.7927400315.

The spelling of 2813927040 in words is "two billion, eight hundred thirteen million, nine hundred twenty-seven thousand, forty".