2061607680 has 864 divisors, whose sum is σ = 8808004800. Its totient is φ = 454164480.

The previous prime is 2061607649. The next prime is 2061607687. The reversal of 2061607680 is 867061602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 (2061607687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 71089906 + ... + 71089934.

It is an arithmetic number, because the mean of its divisors is an integer number (10194450).

Almost surely, 2^2061607680 is an apocalyptic number.

2061607680 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 2061607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404002400).

2061607680 is an abundant number, since it is smaller than the sum of its proper divisors (6746397120).

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

2061607680 is a wasteful number, since it uses less digits than its factorization.

2061607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2061607680 is about 45404.9301287867. The cubic root of 2061607680 is about 1272.7272452195.

The spelling of 2061607680 in words is "two billion, sixty-one million, six hundred seven thousand, six hundred eighty".