2515071040 has 112 divisors (see below), whose sum is σ = 6323990400. Its totient is φ = 950095872.

The previous prime is 2515071037. The next prime is 2515071049. The reversal of 2515071040 is 401705152.

It is a junction number, because it is equal to n+sod(n) for n = 2515070996 and 2515071014.

It is not an unprimeable number, because it can be changed into a prime (2515071049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3459157 + ... + 3459883.

It is an arithmetic number, because the mean of its divisors is an integer number (56464200).

Almost surely, 2^2515071040 is an apocalyptic number.

2515071040 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 2515071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161995200).

2515071040 is an abundant number, since it is smaller than the sum of its proper divisors (3808919360).

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

2515071040 is a wasteful number, since it uses less digits than its factorization.

2515071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 2515071040 is about 50150.4839458205. The cubic root of 2515071040 is about 1359.9306192980.

Adding to 2515071040 its reverse (401705152), we get a palindrome (2916776192).

The spelling of 2515071040 in words is "two billion, five hundred fifteen million, seventy-one thousand, forty".