2574664752 has 80 divisors (see below), whose sum is σ = 7308282240. Its totient is φ = 774566400.

The previous prime is 2574664691. The next prime is 2574664769.

2574664752 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 nialpdrome in base 16.

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, 55852 + ... + 90932.

It is an arithmetic number, because the mean of its divisors is an integer number (91353528).

Almost surely, 2^2574664752 is an apocalyptic number.

2574664752 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 2574664752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654141120).

2574664752 is an abundant number, since it is smaller than the sum of its proper divisors (4733617488).

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

2574664752 is a wasteful number, since it uses less digits than its factorization.

2574664752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35242 (or 35236 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 2574664752 is about 50741.1544212388. The cubic root of 2574664752 is about 1370.5879075844.

The spelling of 2574664752 in words is "two billion, five hundred seventy-four million, six hundred sixty-four thousand, seven hundred fifty-two".