2815733052 has 288 divisors, whose sum is σ = 8593288704. Its totient is φ = 767692800.

The previous prime is 2815733027. The next prime is 2815733119. The reversal of 2815733052 is 2503375182.

It is a happy number.

2815733052 is a `hidden beast` number, since 2 + 8 + 1 + 573 + 30 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2815732998 and 2815733016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20552728 + ... + 20552864.

It is an arithmetic number, because the mean of its divisors is an integer number (29837808).

Almost surely, 2^2815733052 is an apocalyptic number.

2815733052 is a gapful number since it is divisible by the number (22) 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 2815733052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296644352).

2815733052 is an abundant number, since it is smaller than the sum of its proper divisors (5777555652).

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

2815733052 is a wasteful number, since it uses less digits than its factorization.

2815733052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2815733052 is about 53063.4813407488. The cubic root of 2815733052 is about 1412.0947105884.

The spelling of 2815733052 in words is "two billion, eight hundred fifteen million, seven hundred thirty-three thousand, fifty-two".