2663314400 has 72 divisors (see below), whose sum is σ = 6520926384. Its totient is φ = 1062195200.

The previous prime is 2663314397. The next prime is 2663314403. The reversal of 2663314400 is 44133662.

It is an interprime number because it is at equal distance from previous prime (2663314397) and next prime (2663314403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663314403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277685 + ... + 287115.

It is an arithmetic number, because the mean of its divisors is an integer number (90568422).

Almost surely, 2^2663314400 is an apocalyptic number.

2663314400 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 2663314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260463192).

2663314400 is an abundant number, since it is smaller than the sum of its proper divisors (3857611984).

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

2663314400 is a wasteful number, since it uses less digits than its factorization.

2663314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2663314400 is about 51607.3095597901. The cubic root of 2663314400 is about 1386.1412220659.

The spelling of 2663314400 in words is "two billion, six hundred sixty-three million, three hundred fourteen thousand, four hundred".