2752115652 has 432 divisors, whose sum is σ = 9064560960. Its totient is φ = 694886400.

The previous prime is 2752115633. The next prime is 2752115671. The reversal of 2752115652 is 2565112572.

2752115652 is a `hidden beast` number, since 2 + 75 + 21 + 1 + 565 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2752115633) and next prime (2752115671).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46645999 + ... + 46646057.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^2752115652 is an apocalyptic number.

2752115652 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 2752115652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532280480).

2752115652 is an abundant number, since it is smaller than the sum of its proper divisors (6312445308).

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

2752115652 is a wasteful number, since it uses less digits than its factorization.

2752115652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 2752115652 is about 52460.6104806263. The cubic root of 2752115652 is about 1401.3788544510.

The spelling of 2752115652 in words is "two billion, seven hundred fifty-two million, one hundred fifteen thousand, six hundred fifty-two".