2505615060 has 96 divisors (see below), whose sum is σ = 7564878720. Its totient is φ = 615992832.

The previous prime is 2505615043. The next prime is 2505615089. The reversal of 2505615060 is 605165052.

It is a super-3 number, since 3×2505615060³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851071 + ... + 854009.

It is an arithmetic number, because the mean of its divisors is an integer number (78800820).

Almost surely, 2^2505615060 is an apocalyptic number.

2505615060 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 2505615060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782439360).

2505615060 is an abundant number, since it is smaller than the sum of its proper divisors (5059263660).

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

2505615060 is a wasteful number, since it uses less digits than its factorization.

2505615060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2505615060 is about 50056.1191064589. The cubic root of 2505615060 is about 1358.2241563632.

The spelling of 2505615060 in words is "two billion, five hundred five million, six hundred fifteen thousand, sixty".