2472328320 has 384 divisors, whose sum is σ = 10004731200. Its totient is φ = 513515520.

The previous prime is 2472328289. The next prime is 2472328363. The reversal of 2472328320 is 238232742.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2472328320² = 12224814643748044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033686 + ... + 1036074.

Almost surely, 2^2472328320 is an apocalyptic number.

2472328320 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 2472328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002365600).

2472328320 is an abundant number, since it is smaller than the sum of its proper divisors (7532402880).

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

2472328320 is a wasteful number, since it uses less digits than its factorization.

2472328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2472328320 is about 49722.5132108183. The cubic root of 2472328320 is about 1352.1827186730.

It can be divided in two parts, 247232 and 8320, that added together give a palindrome (255552).

The spelling of 2472328320 in words is "two billion, four hundred seventy-two million, three hundred twenty-eight thousand, three hundred twenty".