2526664140 has 576 divisors, whose sum is σ = 10596418560. Its totient is φ = 470292480.

The previous prime is 2526664139. The next prime is 2526664157. The reversal of 2526664140 is 414666252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2526664095 and 2526664104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6666471 + ... + 6666849.

It is an arithmetic number, because the mean of its divisors is an integer number (18396560).

Almost surely, 2^2526664140 is an apocalyptic number.

2526664140 is a gapful number since it is divisible by the number (20) 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 2526664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298209280).

2526664140 is an abundant number, since it is smaller than the sum of its proper divisors (8069754420).

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

2526664140 is a wasteful number, since it uses less digits than its factorization.

2526664140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2526664140 is about 50265.9341900655. The cubic root of 2526664140 is about 1362.0169287681.

It can be divided in two parts, 2526 and 664140, that added together give a palindrome (666666).

The spelling of 2526664140 in words is "two billion, five hundred twenty-six million, six hundred sixty-four thousand, one hundred forty".