2820936040 has 32 divisors (see below), whose sum is σ = 6835346280. Its totient is φ = 1041576192.

The previous prime is 2820936031. The next prime is 2820936049. The reversal of 2820936040 is 406390282.

It is an interprime number because it is at equal distance from previous prime (2820936031) and next prime (2820936049).

It can be written as a sum of positive squares in 4 ways, for example, as 1419631684 + 1401304356 = 37678^2 + 37434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2820935987 and 2820936005.

It is not an unprimeable number, because it can be changed into a prime (2820936049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2711919 + ... + 2712958.

Almost surely, 2^2820936040 is an apocalyptic number.

2820936040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820936040 is an abundant number, since it is smaller than the sum of its proper divisors (4014410240).

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

2820936040 is a wasteful number, since it uses less digits than its factorization.

2820936040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424901 (or 5424897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2820936040 is about 53112.4847846530. The cubic root of 2820936040 is about 1412.9639443948.

The spelling of 2820936040 in words is "two billion, eight hundred twenty million, nine hundred thirty-six thousand, forty".