2663581320 has 192 divisors, whose sum is σ = 9081072000. Its totient is φ = 702079488.

The previous prime is 2663581307. The next prime is 2663581331. The reversal of 2663581320 is 231853662.

It is a happy number.

2663581320 is a `hidden beast` number, since 2 + 6 + 635 + 8 + 13 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 863541 + ... + 866619.

It is an arithmetic number, because the mean of its divisors is an integer number (47297250).

Almost surely, 2^2663581320 is an apocalyptic number.

2663581320 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 2663581320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536000).

2663581320 is an abundant number, since it is smaller than the sum of its proper divisors (6417490680).

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

2663581320 is a wasteful number, since it uses less digits than its factorization.

2663581320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2663581320 is about 51609.8955627697. The cubic root of 2663581320 is about 1386.1875273332.

The spelling of 2663581320 in words is "two billion, six hundred sixty-three million, five hundred eighty-one thousand, three hundred twenty".