2252611536 has 120 divisors (see below), whose sum is σ = 7063815744. Its totient is φ = 615605760.

The previous prime is 2252611457. The next prime is 2252611561. The reversal of 2252611536 is 6351162522.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2252611497 and 2252611506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33276 + ... + 74916.

Almost surely, 2^2252611536 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 2252611536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531907872).

2252611536 is an abundant number, since it is smaller than the sum of its proper divisors (4811204208).

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

2252611536 is a wasteful number, since it uses less digits than its factorization.

2252611536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41689 (or 41676 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2252611536 is about 47461.6849258431. The cubic root of 2252611536 is about 1310.8774759369.

The spelling of 2252611536 in words is "two billion, two hundred fifty-two million, six hundred eleven thousand, five hundred thirty-six".