2648132400 has 240 divisors, whose sum is σ = 8729262720. Its totient is φ = 685977600.

The previous prime is 2648132371. The next prime is 2648132489. The reversal of 2648132400 is 42318462.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 8000235 + ... + 8000565.

It is an arithmetic number, because the mean of its divisors is an integer number (36371928).

Almost surely, 2^2648132400 is an apocalyptic number.

2648132400 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 2648132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364631360).

2648132400 is an abundant number, since it is smaller than the sum of its proper divisors (6081130320).

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

2648132400 is a wasteful number, since it uses less digits than its factorization.

2648132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2648132400 is about 51460.0077730270. The cubic root of 2648132400 is about 1383.5023409256.

The spelling of 2648132400 in words is "two billion, six hundred forty-eight million, one hundred thirty-two thousand, four hundred".