2512772152 has 48 divisors (see below), whose sum is σ = 5185164600. Its totient is φ = 1140744000.

The previous prime is 2512772137. The next prime is 2512772153.

2512772152 is nontrivially palindromic in base 10.

2512772152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2512772152² = 12628047775733422208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512772153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1403674 + ... + 1405462.

Almost surely, 2^2512772152 is an apocalyptic number.

2512772152 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 2512772152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592582300).

2512772152 is an abundant number, since it is smaller than the sum of its proper divisors (2672392448).

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

2512772152 is a wasteful number, since it uses less digits than its factorization.

2512772152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3253 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 2512772152 is about 50127.5588075063. The cubic root of 2512772152 is about 1359.5161470822.

It can be divided in two parts, 25127 and 72152, that added together give a palindrome (97279).

The spelling of 2512772152 in words is "two billion, five hundred twelve million, seven hundred seventy-two thousand, one hundred fifty-two".