2528767960 has 64 divisors (see below), whose sum is σ = 6032113920. Its totient is φ = 952404480.

The previous prime is 2528767939. The next prime is 2528767973. The reversal of 2528767960 is 697678252.

It is a junction number, because it is equal to n+sod(n) for n = 2528767898 and 2528767907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18322 + ... + 73438.

It is an arithmetic number, because the mean of its divisors is an integer number (94251780).

Almost surely, 2^2528767960 is an apocalyptic number.

2528767960 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 2528767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016056960).

2528767960 is an abundant number, since it is smaller than the sum of its proper divisors (3503345960).

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

2528767960 is a wasteful number, since it uses less digits than its factorization.

2528767960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55196 (or 55192 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The square root of 2528767960 is about 50286.8567321522. The cubic root of 2528767960 is about 1362.3948504551.

The spelling of 2528767960 in words is "two billion, five hundred twenty-eight million, seven hundred sixty-seven thousand, nine hundred sixty".