2663798400 has 480 divisors, whose sum is σ = 10100692800. Its totient is φ = 690923520.

The previous prime is 2663798359. The next prime is 2663798419. The reversal of 2663798400 is 48973662.

2663798400 is a `hidden beast` number, since 2 + 6 + 637 + 9 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11145481 + ... + 11145719.

It is an arithmetic number, because the mean of its divisors is an integer number (21043110).

Almost surely, 2^2663798400 is an apocalyptic number.

2663798400 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 2663798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050346400).

2663798400 is an abundant number, since it is smaller than the sum of its proper divisors (7436894400).

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

2663798400 is a wasteful number, since it uses less digits than its factorization.

2663798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2663798400 is about 51611.9986049756. The cubic root of 2663798400 is about 1386.2251840790.

The spelling of 2663798400 in words is "two billion, six hundred sixty-three million, seven hundred ninety-eight thousand, four hundred".