2119944960 has 720 divisors, whose sum is σ = 9117351936. Its totient is φ = 459841536.

The previous prime is 2119944949. The next prime is 2119944971. The reversal of 2119944960 is 694499112.

It is an interprime number because it is at equal distance from previous prime (2119944949) and next prime (2119944971).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692417 + ... + 16692543.

Almost surely, 2^2119944960 is an apocalyptic number.

2119944960 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 2119944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558675968).

2119944960 is an abundant number, since it is smaller than the sum of its proper divisors (6997406976).

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

2119944960 is a wasteful number, since it uses less digits than its factorization.

2119944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2119944960 is about 46042.8600327999. The cubic root of 2119944960 is about 1284.6205403008.

The spelling of 2119944960 in words is "two billion, one hundred nineteen million, nine hundred forty-four thousand, nine hundred sixty".