2644986960 has 1120 divisors, whose sum is σ = 12490629120. Its totient is φ = 503884800.

The previous prime is 2644986947. The next prime is 2644987001. The reversal of 2644986960 is 696894462.

2644986960 is a `hidden beast` number, since 2 + 64 + 498 + 6 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2644986897 and 2644986906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 85322145 + ... + 85322175.

Almost surely, 2^2644986960 is an apocalyptic number.

2644986960 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 2644986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245314560).

2644986960 is an abundant number, since it is smaller than the sum of its proper divisors (9845642160).

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

2644986960 is a wasteful number, since it uses less digits than its factorization.

2644986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2644986960 is about 51429.4367070066. The cubic root of 2644986960 is about 1382.9543512396.

The spelling of 2644986960 in words is "two billion, six hundred forty-four million, nine hundred eighty-six thousand, nine hundred sixty".