2865508240 has 120 divisors (see below), whose sum is σ = 7819823160. Its totient is φ = 973615104.

The previous prime is 2865508187. The next prime is 2865508277. The reversal of 2865508240 is 428055682.

It can be written as a sum of positive squares in 4 ways, for example, as 222725776 + 2642782464 = 14924^2 + 51408^2 .

It is a super-2 number, since 2×2865508240² = 16422274947015795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2865508193 and 2865508202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439726 + ... + 446194.

It is an arithmetic number, because the mean of its divisors is an integer number (65165193).

Almost surely, 2^2865508240 is an apocalyptic number.

2865508240 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 2865508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909911580).

2865508240 is an abundant number, since it is smaller than the sum of its proper divisors (4954314920).

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

2865508240 is a wasteful number, since it uses less digits than its factorization.

2865508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 2865508240 is about 53530.4421801277. The cubic root of 2865508240 is about 1420.3669355249.

The spelling of 2865508240 in words is "two billion, eight hundred sixty-five million, five hundred eight thousand, two hundred forty".