2515688540 has 48 divisors (see below), whose sum is σ = 5572560000. Its totient is φ = 951331392.

The previous prime is 2515688477. The next prime is 2515688557. The reversal of 2515688540 is 458865152.

It is a junction number, because it is equal to n+sod(n) for n = 2515688491 and 2515688500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182987 + ... + 196253.

It is an arithmetic number, because the mean of its divisors is an integer number (116095000).

Almost surely, 2^2515688540 is an apocalyptic number.

2515688540 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 2515688540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786280000).

2515688540 is an abundant number, since it is smaller than the sum of its proper divisors (3056871460).

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

2515688540 is a wasteful number, since it uses less digits than its factorization.

2515688540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 44.

The square root of 2515688540 is about 50156.6400389819. The cubic root of 2515688540 is about 1360.0419068690.

The spelling of 2515688540 in words is "two billion, five hundred fifteen million, six hundred eighty-eight thousand, five hundred forty".