2965189920 has 576 divisors, whose sum is σ = 12091959936. Its totient is φ = 603832320.

The previous prime is 2965189919. The next prime is 2965189939. The reversal of 2965189920 is 299815692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18886482 + ... + 18886638.

It is an arithmetic number, because the mean of its divisors is an integer number (20992986).

Almost surely, 2^2965189920 is an apocalyptic number.

2965189920 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 2965189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045979968).

2965189920 is an abundant number, since it is smaller than the sum of its proper divisors (9126770016).

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

2965189920 is a wasteful number, since it uses less digits than its factorization.

2965189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 2965189920 is about 54453.5574595453. The cubic root of 2965189920 is about 1436.6495407532.

The spelling of 2965189920 in words is "two billion, nine hundred sixty-five million, one hundred eighty-nine thousand, nine hundred twenty".