2668525440 has 256 divisors, whose sum is σ = 9777507840. Its totient is φ = 606412800.

The previous prime is 2668525429. The next prime is 2668525469. The reversal of 2668525440 is 445258662.

It is a happy number.

2668525440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2668525440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2668525392 and 2668525401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835370 + ... + 2836310.

It is an arithmetic number, because the mean of its divisors is an integer number (38193390).

Almost surely, 2^2668525440 is an apocalyptic number.

2668525440 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 2668525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888753920).

2668525440 is an abundant number, since it is smaller than the sum of its proper divisors (7108982400).

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

2668525440 is a wasteful number, since it uses less digits than its factorization.

2668525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 2668525440 is about 51657.7723096922. The cubic root of 2668525440 is about 1387.0446742298.

It can be divided in two parts, 26685 and 25440, that added together give a palindrome (52125).

The spelling of 2668525440 in words is "two billion, six hundred sixty-eight million, five hundred twenty-five thousand, four hundred forty".