2664434995200 has 3120 divisors, whose sum is σ = 11945662660800. Its totient is φ = 579679027200.

The previous prime is 2664434995139. The next prime is 2664434995249. The reversal of 2664434995200 is 25994344662.

2664434995200 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 4 + 349 + 95 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50272358374 + ... + 50272358426.

Almost surely, 2^{2664434995200} is an apocalyptic number.

2664434995200 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 2664434995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972831330400).

2664434995200 is an abundant number, since it is smaller than the sum of its proper divisors (9281227665600).

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

2664434995200 is a wasteful number, since it uses less digits than its factorization.

2664434995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2664434995200 in words is "two trillion, six hundred sixty-four billion, four hundred thirty-four million, nine hundred ninety-five thousand, two hundred".