2631996720 has 320 divisors, whose sum is σ = 9770803200. Its totient is φ = 649313280.

The previous prime is 2631996709. The next prime is 2631996769. The reversal of 2631996720 is 276991362.

It is a happy number.

2631996720 is a `hidden beast` number, since 2 + 631 + 9 + 9 + 6 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×2631996720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 1539226 + ... + 1540934.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 2^2631996720 is an apocalyptic number.

2631996720 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 2631996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885401600).

2631996720 is an abundant number, since it is smaller than the sum of its proper divisors (7138806480).

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

2631996720 is a wasteful number, since it uses less digits than its factorization.

2631996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2631996720 is about 51302.9893865845. The cubic root of 2631996720 is about 1380.6866148419.

The spelling of 2631996720 in words is "two billion, six hundred thirty-one million, nine hundred ninety-six thousand, seven hundred twenty".