2597117952 has 224 divisors, whose sum is σ = 8146938240. Its totient is φ = 725483520.

The previous prime is 2597117947. The next prime is 2597117993.

It is a happy number.

2597117952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513999 + ... + 3514737.

It is an arithmetic number, because the mean of its divisors is an integer number (36370260).

Almost surely, 2^2597117952 is an apocalyptic number.

2597117952 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 2597117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073469120).

2597117952 is an abundant number, since it is smaller than the sum of its proper divisors (5549820288).

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

2597117952 is a wasteful number, since it uses less digits than its factorization.

2597117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 768 counting only the distinct ones).

The product of its digits is 396900, while the sum is 48.

The square root of 2597117952 is about 50961.9264941976. The cubic root of 2597117952 is about 1374.5606004475.

The spelling of 2597117952 in words is "two billion, five hundred ninety-seven million, one hundred seventeen thousand, nine hundred fifty-two".