2650982400 has 432 divisors, whose sum is σ = 10376992080. Its totient is φ = 641433600.

The previous prime is 2650982339. The next prime is 2650982419. The reversal of 2650982400 is 42890562.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5068539 + ... + 5069061.

It is an arithmetic number, because the mean of its divisors is an integer number (24020815).

Almost surely, 2^2650982400 is an apocalyptic number.

2650982400 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 2650982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188496040).

2650982400 is an abundant number, since it is smaller than the sum of its proper divisors (7726009680).

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

2650982400 is a wasteful number, since it uses less digits than its factorization.

2650982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2650982400 is about 51487.6917330734. The cubic root of 2650982400 is about 1383.9984853025.

The spelling of 2650982400 in words is "two billion, six hundred fifty million, nine hundred eighty-two thousand, four hundred".