2515624540 has 192 divisors, whose sum is σ = 6543452160. Its totient is φ = 799349760.

The previous prime is 2515624537. The next prime is 2515624591. The reversal of 2515624540 is 454265152.

2515624540 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 = 2515624496 and 2515624505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10985146 + ... + 10985374.

It is an arithmetic number, because the mean of its divisors is an integer number (34080480).

Almost surely, 2^2515624540 is an apocalyptic number.

2515624540 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 2515624540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271726080).

2515624540 is an abundant number, since it is smaller than the sum of its proper divisors (4027827620).

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

2515624540 is a wasteful number, since it uses less digits than its factorization.

2515624540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2515624540 is about 50156.0020336550. The cubic root of 2515624540 is about 1360.0303734566.

Adding to 2515624540 its reverse (454265152), we get a palindrome (2969889692).

The spelling of 2515624540 in words is "two billion, five hundred fifteen million, six hundred twenty-four thousand, five hundred forty".