2599229952 has 160 divisors (see below), whose sum is σ = 8393837760. Its totient is φ = 787599360.

The previous prime is 2599229933. The next prime is 2599229989.

2599229952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 143518 + ... + 160610.

It is an arithmetic number, because the mean of its divisors is an integer number (52461486).

Almost surely, 2^2599229952 is an apocalyptic number.

2599229952 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 2599229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196918880).

2599229952 is an abundant number, since it is smaller than the sum of its proper divisors (5794607808).

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

2599229952 is a wasteful number, since it uses less digits than its factorization.

2599229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17109 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 2599229952 is about 50982.6436348685. The cubic root of 2599229952 is about 1374.9331012300.

The spelling of 2599229952 in words is "two billion, five hundred ninety-nine million, two hundred twenty-nine thousand, nine hundred fifty-two".