2631672330 has 128 divisors (see below), whose sum is σ = 7784017920. Its totient is φ = 555932160.

The previous prime is 2631672317. The next prime is 2631672331. The reversal of 2631672330 is 332761362.

It is a junction number, because it is equal to n+sod(n) for n = 2631672291 and 2631672300.

It is not an unprimeable number, because it can be changed into a prime (2631672331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155547 + ... + 171633.

It is an arithmetic number, because the mean of its divisors is an integer number (60812640).

Almost surely, 2^2631672330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631672330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892008960).

2631672330 is an abundant number, since it is smaller than the sum of its proper divisors (5152345590).

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

2631672330 is a wasteful number, since it uses less digits than its factorization.

2631672330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 2631672330 is about 51299.8277774887. The cubic root of 2631672330 is about 1380.6298899318.

The spelling of 2631672330 in words is "two billion, six hundred thirty-one million, six hundred seventy-two thousand, three hundred thirty".