2327976000 has 672 divisors, whose sum is σ = 9890150400. Its totient is φ = 511488000.

The previous prime is 2327975987. The next prime is 2327976019. The reversal of 2327976000 is 6797232.

2327976000 is a `hidden beast` number, since 23 + 27 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15623926 + ... + 15624074.

Almost surely, 2^2327976000 is an apocalyptic number.

2327976000 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 2327976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945075200).

2327976000 is an abundant number, since it is smaller than the sum of its proper divisors (7562174400).

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

2327976000 is a wasteful number, since it uses less digits than its factorization.

2327976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2327976000 is about 48249.1036186166. The cubic root of 2327976000 is about 1325.3365230430.

The spelling of 2327976000 in words is "two billion, three hundred twenty-seven million, nine hundred seventy-six thousand".