2431672320 has 448 divisors, whose sum is σ = 9738579456. Its totient is φ = 503316480.

The previous prime is 2431672319. The next prime is 2431672337. The reversal of 2431672320 is 232761342.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461632 + ... + 9461888.

Almost surely, 2^2431672320 is an apocalyptic number.

2431672320 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 2431672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869289728).

2431672320 is an abundant number, since it is smaller than the sum of its proper divisors (7306907136).

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

2431672320 is a wasteful number, since it uses less digits than its factorization.

2431672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2431672320 is about 49311.9896171306. The cubic root of 2431672320 is about 1344.7297624135.

The spelling of 2431672320 in words is "two billion, four hundred thirty-one million, six hundred seventy-two thousand, three hundred twenty".