2662993920 has 208 divisors, whose sum is σ = 8633969280. Its totient is φ = 700710912.

The previous prime is 2662993909. The next prime is 2662993943. The reversal of 2662993920 is 293992662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2662993920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5467917 + ... + 5468403.

Almost surely, 2^2662993920 is an apocalyptic number.

2662993920 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 2662993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316984640).

2662993920 is an abundant number, since it is smaller than the sum of its proper divisors (5970975360).

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

2662993920 is an equidigital number, since it uses as much as digits as its factorization.

2662993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 2662993920 is about 51604.2044798677. The cubic root of 2662993920 is about 1386.0856211252.

The spelling of 2662993920 in words is "two billion, six hundred sixty-two million, nine hundred ninety-three thousand, nine hundred twenty".