2815527120 has 160 divisors (see below), whose sum is σ = 9991741440. Its totient is φ = 642470400.

The previous prime is 2815526993. The next prime is 2815527133. The reversal of 2815527120 is 217255182.

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, 1442145 + ... + 1444095.

It is an arithmetic number, because the mean of its divisors is an integer number (62448384).

Almost surely, 2^2815527120 is an apocalyptic number.

2815527120 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 2815527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995870720).

2815527120 is an abundant number, since it is smaller than the sum of its proper divisors (7176214320).

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

2815527120 is a wasteful number, since it uses less digits than its factorization.

2815527120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2815527120 is about 53061.5408747239. The cubic root of 2815527120 is about 1412.0602846713.

It can be divided in two parts, 2815 and 527120, that added together give a triangular number (529935 = T₁₀₂₉).

The spelling of 2815527120 in words is "two billion, eight hundred fifteen million, five hundred twenty-seven thousand, one hundred twenty".