2084952960 has 320 divisors, whose sum is σ = 7654014720. Its totient is φ = 540463104.

The previous prime is 2084952907. The next prime is 2084952983. The reversal of 2084952960 is 692594802.

2084952960 is a `hidden beast` number, since 20 + 8 + 49 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1917537 + ... + 1918623.

It is an arithmetic number, because the mean of its divisors is an integer number (23918796).

Almost surely, 2^2084952960 is an apocalyptic number.

2084952960 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 2084952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827007360).

2084952960 is an abundant number, since it is smaller than the sum of its proper divisors (5569061760).

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

2084952960 is a wasteful number, since it uses less digits than its factorization.

2084952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

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

The square root of 2084952960 is about 45661.2851330315. The cubic root of 2084952960 is about 1277.5132709766.

The spelling of 2084952960 in words is "two billion, eighty-four million, nine hundred fifty-two thousand, nine hundred sixty".