2506664160 has 1152 divisors, whose sum is σ = 12046454784. Its totient is φ = 457850880.

The previous prime is 2506664143. The next prime is 2506664189. The reversal of 2506664160 is 614666052.

It is a happy number.

It is a super-2 number, since 2×2506664160² = 12566730422057011200, which contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 53333257 + ... + 53333303.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^2506664160 is an apocalyptic number.

2506664160 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 2506664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023227392).

2506664160 is an abundant number, since it is smaller than the sum of its proper divisors (9539790624).

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

2506664160 is a wasteful number, since it uses less digits than its factorization.

2506664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2506664160 is about 50066.5972480655. The cubic root of 2506664160 is about 1358.4136925455.

It can be divided in two parts, 2506 and 664160, that added together give a palindrome (666666).

The spelling of 2506664160 in words is "two billion, five hundred six million, six hundred sixty-four thousand, one hundred sixty".