2631433728 has 320 divisors, whose sum is σ = 9207982080. Its totient is φ = 646963200.

The previous prime is 2631433691. The next prime is 2631433769. The reversal of 2631433728 is 8273341362.

It is a nude number because it is divisible by every one of its digits.

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, 2246583 + ... + 2247753.

It is an arithmetic number, because the mean of its divisors is an integer number (28774944).

Almost surely, 2^2631433728 is an apocalyptic number.

2631433728 is a gapful number since it is divisible by the number (28) 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 2631433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603991040).

2631433728 is an abundant number, since it is smaller than the sum of its proper divisors (6576548352).

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

2631433728 is a wasteful number, since it uses less digits than its factorization.

2631433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 2631433728 is about 51297.5021614113. The cubic root of 2631433728 is about 1380.5881634846.

The spelling of 2631433728 in words is "two billion, six hundred thirty-one million, four hundred thirty-three thousand, seven hundred twenty-eight".