2663200464 has 80 divisors (see below), whose sum is σ = 7016068800. Its totient is φ = 870266880.

The previous prime is 2663200457. The next prime is 2663200481. The reversal of 2663200464 is 4640023662.

It is a super-2 number, since 2×2663200464² = 14185273422899630592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985387 + ... + 988085.

It is an arithmetic number, because the mean of its divisors is an integer number (87700860).

Almost surely, 2^2663200464 is an apocalyptic number.

2663200464 is a gapful number since it is divisible by the number (24) 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 2663200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508034400).

2663200464 is an abundant number, since it is smaller than the sum of its proper divisors (4352868336).

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

2663200464 is a wasteful number, since it uses less digits than its factorization.

2663200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2663200464 is about 51606.2056733490. The cubic root of 2663200464 is about 1386.1214555126.

The spelling of 2663200464 in words is "two billion, six hundred sixty-three million, two hundred thousand, four hundred sixty-four".