2472331680 has 768 divisors, whose sum is σ = 11244441600. Its totient is φ = 492687360.

The previous prime is 2472331643. The next prime is 2472331681. The reversal of 2472331680 is 861332742.

It is a happy number.

2472331680 is a `hidden beast` number, since 247 + 2 + 331 + 6 + 80 = 666.

It is a super-2 number, since 2×2472331680² = 12224847871863244800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2472331681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469115 + ... + 7469445.

It is an arithmetic number, because the mean of its divisors is an integer number (14641200).

Almost surely, 2^2472331680 is an apocalyptic number.

2472331680 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 2472331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622220800).

2472331680 is an abundant number, since it is smaller than the sum of its proper divisors (8772109920).

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

2472331680 is a wasteful number, since it uses less digits than its factorization.

2472331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2472331680 is about 49722.5469983186. The cubic root of 2472331680 is about 1352.1833312308.

The spelling of 2472331680 in words is "two billion, four hundred seventy-two million, three hundred thirty-one thousand, six hundred eighty".