2592112952 has 64 divisors (see below), whose sum is σ = 5740277760. Its totient is φ = 1081814400.

The previous prime is 2592112937. The next prime is 2592112987.

It is a happy number.

2592112952 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212573 + ... + 224435.

It is an arithmetic number, because the mean of its divisors is an integer number (89691840).

Almost surely, 2^2592112952 is an apocalyptic number.

2592112952 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 2592112952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870138880).

2592112952 is an abundant number, since it is smaller than the sum of its proper divisors (3148164808).

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

2592112952 is a wasteful number, since it uses less digits than its factorization.

2592112952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12080 counting only the distinct ones).

The product of its digits is 32400, while the sum is 38.

The square root of 2592112952 is about 50912.7975267516. The cubic root of 2592112952 is about 1373.6770441327.

The spelling of 2592112952 in words is "two billion, five hundred ninety-two million, one hundred twelve thousand, nine hundred fifty-two".