2152752 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 596736.

The previous prime is 2152739. The next prime is 2152753. The reversal of 2152752 is 2572512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁵ + 1 + 5² + 2¹⁴ + 7⁶ + 5⁹ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (2152753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14374 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2152752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2152752 is an abundant number, since it is smaller than the sum of its proper divisors (4394448).

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

2152752 is a wasteful number, since it uses less digits than its factorization.

2152752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 2152752 is about 1467.2259539689. The cubic root of 2152752 is about 129.1213328712.

2152752 divided by its sum of digits (24) gives a palindrome (89698).

The spelling of 2152752 in words is "two million, one hundred fifty-two thousand, seven hundred fifty-two".