2401672832 has 64 divisors (see below), whose sum is σ = 5210843400. Its totient is φ = 1095942144.

The previous prime is 2401672831. The next prime is 2401672843. The reversal of 2401672832 is 2382761042.

It can be written as a sum of positive squares in 4 ways, for example, as 1656164416 + 745508416 = 40696^2 + 27304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2401672792 and 2401672801.

It is not an unprimeable number, because it can be changed into a prime (2401672831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139988 + ... + 156204.

Almost surely, 2^2401672832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605421700).

2401672832 is an abundant number, since it is smaller than the sum of its proper divisors (2809170568).

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

2401672832 is a wasteful number, since it uses less digits than its factorization.

2401672832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16333 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2401672832 is about 49006.8651517315. The cubic root of 2401672832 is about 1339.1768970472.

The spelling of 2401672832 in words is "two billion, four hundred one million, six hundred seventy-two thousand, eight hundred thirty-two".