2285015040 has 936 divisors, whose sum is σ = 10488149568. Its totient is φ = 454164480.

The previous prime is 2285015021. The next prime is 2285015041. The reversal of 2285015040 is 405105822.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2285014995 and 2285015013.

It is not an unprimeable number, because it can be changed into a prime (2285015041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99348469 + ... + 99348491.

It is an arithmetic number, because the mean of its divisors is an integer number (11205288).

Almost surely, 2^2285015040 is an apocalyptic number.

2285015040 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 2285015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244074784).

2285015040 is an abundant number, since it is smaller than the sum of its proper divisors (8203134528).

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

2285015040 is a wasteful number, since it uses less digits than its factorization.

2285015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2285015040 is about 47801.8309272773. The cubic root of 2285015040 is about 1317.1331721576.

The spelling of 2285015040 in words is "two billion, two hundred eighty-five million, fifteen thousand, forty".