2813007540 has 384 divisors, whose sum is σ = 9835499520. Its totient is φ = 587059200.

The previous prime is 2813007523. The next prime is 2813007553. The reversal of 2813007540 is 457003182.

It is a super-2 number, since 2×2813007540² = 15826022840193703200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2813007498 and 2813007507.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 21473275 + ... + 21473405.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^2813007540 is an apocalyptic number.

2813007540 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 2813007540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2813007540 is an abundant number, since it is smaller than the sum of its proper divisors (7022491980).

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

2813007540 is a wasteful number, since it uses less digits than its factorization.

2813007540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2813007540 is about 53037.7935061405. The cubic root of 2813007540 is about 1411.6389472681.

The spelling of 2813007540 in words is "two billion, eight hundred thirteen million, seven thousand, five hundred forty".