2663308400 has 90 divisors (see below), whose sum is σ = 6797422080. Its totient is φ = 1002613760.

The previous prime is 2663308387. The next prime is 2663308411. The reversal of 2663308400 is 48033662.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104081 + ... + 127119.

It is an arithmetic number, because the mean of its divisors is an integer number (75526912).

Almost surely, 2^2663308400 is an apocalyptic number.

2663308400 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 2663308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398711040).

2663308400 is an abundant number, since it is smaller than the sum of its proper divisors (4134113680).

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

2663308400 is a wasteful number, since it uses less digits than its factorization.

2663308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23091 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2663308400 is about 51607.2514284572. The cubic root of 2663308400 is about 1386.1401811507.

The spelling of 2663308400 in words is "two billion, six hundred sixty-three million, three hundred eight thousand, four hundred".