2663953920 has 400 divisors, whose sum is σ = 9892737360. Its totient is φ = 684343296.

The previous prime is 2663953883. The next prime is 2663953921. The reversal of 2663953920 is 293593662.

2663953920 is a `hidden beast` number, since 2 + 6 + 639 + 5 + 3 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663953921) 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 39 ways as a sum of consecutive naturals, for example, 6013219 + ... + 6013661.

Almost surely, 2^2663953920 is an apocalyptic number.

2663953920 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 2663953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946368680).

2663953920 is an abundant number, since it is smaller than the sum of its proper divisors (7228783440).

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

2663953920 is an equidigital number, since it uses as much as digits as its factorization.

2663953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 2663953920 is about 51613.5052093926. The cubic root of 2663953920 is about 1386.2521607883.

The spelling of 2663953920 in words is "two billion, six hundred sixty-three million, nine hundred fifty-three thousand, nine hundred twenty".