2515415540 has 72 divisors (see below), whose sum is σ = 6121658592. Its totient is φ = 860869120.

The previous prime is 2515415533. The next prime is 2515415597. The reversal of 2515415540 is 455145152.

It is a junction number, because it is equal to n+sod(n) for n = 2515415497 and 2515415506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43799 + ... + 83361.

It is an arithmetic number, because the mean of its divisors is an integer number (85023036).

Almost surely, 2^2515415540 is an apocalyptic number.

2515415540 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 2515415540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060829296).

2515415540 is an abundant number, since it is smaller than the sum of its proper divisors (3606243052).

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

2515415540 is a wasteful number, since it uses less digits than its factorization.

2515415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39617 (or 39598 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 2515415540 is about 50153.9184909813. The cubic root of 2515415540 is about 1359.9927082942.

The spelling of 2515415540 in words is "two billion, five hundred fifteen million, four hundred fifteen thousand, five hundred forty".