2515138560 has 384 divisors, whose sum is σ = 9765100800. Its totient is φ = 608993280.

The previous prime is 2515138543. The next prime is 2515138567. The reversal of 2515138560 is 658315152.

It is a happy number.

2515138560 is a `hidden beast` number, since 2 + 5 + 1 + 513 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2515138567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040867 + ... + 3041693.

It is an arithmetic number, because the mean of its divisors is an integer number (25429950).

Almost surely, 2^2515138560 is an apocalyptic number.

2515138560 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 2515138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882550400).

2515138560 is an abundant number, since it is smaller than the sum of its proper divisors (7249962240).

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

2515138560 is a wasteful number, since it uses less digits than its factorization.

2515138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2515138560 is about 50151.1571152650. The cubic root of 2515138560 is about 1359.9427888275.

The spelling of 2515138560 in words is "two billion, five hundred fifteen million, one hundred thirty-eight thousand, five hundred sixty".