2514115040 has 72 divisors (see below), whose sum is σ = 6309653112. Its totient is φ = 946472960.

The previous prime is 2514115033. The next prime is 2514115103. The reversal of 2514115040 is 405114152.

2514115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2514114997 and 2514115015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19055 + ... + 73425.

It is an arithmetic number, because the mean of its divisors is an integer number (87634071).

Almost surely, 2^2514115040 is an apocalyptic number.

2514115040 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 2514115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154826556).

2514115040 is an abundant number, since it is smaller than the sum of its proper divisors (3795538072).

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

2514115040 is a wasteful number, since it uses less digits than its factorization.

2514115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54420 (or 54395 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 2514115040 is about 50140.9517261091. The cubic root of 2514115040 is about 1359.7582903774.

Adding to 2514115040 its reverse (405114152), we get a palindrome (2919229192).

The spelling of 2514115040 in words is "two billion, five hundred fourteen million, one hundred fifteen thousand, forty".