2650116960 has 384 divisors, whose sum is σ = 9906624000. Its totient is φ = 659736576.

The previous prime is 2650116943. The next prime is 2650116967. The reversal of 2650116960 is 696110562.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2650116967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6812446 + ... + 6812834.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2650116960 is an apocalyptic number.

2650116960 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 2650116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2650116960 is an abundant number, since it is smaller than the sum of its proper divisors (7256507040).

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

2650116960 is a wasteful number, since it uses less digits than its factorization.

2650116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2650116960 is about 51479.2867083451. The cubic root of 2650116960 is about 1383.8478621456.

The spelling of 2650116960 in words is "two billion, six hundred fifty million, one hundred sixteen thousand, nine hundred sixty".