2505876120 has 144 divisors (see below), whose sum is σ = 8951932080. Its totient is φ = 607474560.

The previous prime is 2505876119. The next prime is 2505876133. The reversal of 2505876120 is 216785052.

It is a happy number.

2505876120 is a `hidden beast` number, since 2 + 50 + 587 + 6 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14797 + ... + 72323.

It is an arithmetic number, because the mean of its divisors is an integer number (62166195).

Almost surely, 2^2505876120 is an apocalyptic number.

2505876120 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 2505876120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475966040).

2505876120 is an abundant number, since it is smaller than the sum of its proper divisors (6446055960).

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

2505876120 is a wasteful number, since it uses less digits than its factorization.

2505876120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57566 (or 57548 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2505876120 is about 50058.7267117333. The cubic root of 2505876120 is about 1358.2713258440.

The spelling of 2505876120 in words is "two billion, five hundred five million, eight hundred seventy-six thousand, one hundred twenty".