2658672432 has 240 divisors, whose sum is σ = 8932865760. Its totient is φ = 729243648.

The previous prime is 2658672431. The next prime is 2658672439. The reversal of 2658672432 is 2342768562.

2658672432 is a `hidden beast` number, since 26 + 586 + 7 + 2 + 43 + 2 = 666.

2658672432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2658672431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602458 + ... + 606854.

It is an arithmetic number, because the mean of its divisors is an integer number (37220274).

Almost surely, 2^2658672432 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 2658672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466432880).

2658672432 is an abundant number, since it is smaller than the sum of its proper divisors (6274193328).

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

2658672432 is a wasteful number, since it uses less digits than its factorization.

2658672432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4451 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2658672432 is about 51562.3160069445. The cubic root of 2658672432 is about 1385.3354384819.

The spelling of 2658672432 in words is "two billion, six hundred fifty-eight million, six hundred seventy-two thousand, four hundred thirty-two".