2660082400 has 72 divisors (see below), whose sum is σ = 6535597320. Its totient is φ = 1057205760.

The previous prime is 2660082377. The next prime is 2660082401. The reversal of 2660082400 is 42800662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660082401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115011 + ... + 136189.

It is an arithmetic number, because the mean of its divisors is an integer number (90772185).

Almost surely, 2^2660082400 is an apocalyptic number.

2660082400 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 2660082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267798660).

2660082400 is an abundant number, since it is smaller than the sum of its proper divisors (3875514920).

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

2660082400 is a wasteful number, since it uses less digits than its factorization.

2660082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21356 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2660082400 is about 51575.9866604605. The cubic root of 2660082400 is about 1385.5802891855.

The spelling of 2660082400 in words is "two billion, six hundred sixty million, eighty-two thousand, four hundred".