2984052960 has 720 divisors, whose sum is σ = 12680769024. Its totient is φ = 658409472.

The previous prime is 2984052943. The next prime is 2984053063. The reversal of 2984052960 is 692504892.

2984052960 is a `hidden beast` number, since 29 + 8 + 40 + 529 + 60 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23496417 + ... + 23496543.

Almost surely, 2^2984052960 is an apocalyptic number.

2984052960 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 2984052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340384512).

2984052960 is an abundant number, since it is smaller than the sum of its proper divisors (9696716064).

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

2984052960 is a wasteful number, since it uses less digits than its factorization.

2984052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2984052960 is about 54626.4858836810. The cubic root of 2984052960 is about 1439.6895163937.

The spelling of 2984052960 in words is "two billion, nine hundred eighty-four million, fifty-two thousand, nine hundred sixty".