2664044195904 has 2688 divisors, whose sum is σ = 11208056832000. Its totient is φ = 611003990016.

The previous prime is 2664044195903. The next prime is 2664044195929. The reversal of 2664044195904 is 4095914404662.

2664044195904 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 0 + 4 + 41 + 9 + 590 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2664044195903) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20976725889 + ... + 20976726015.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664000).

Almost surely, 2^{2664044195904} is an apocalyptic number.

2664044195904 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 2664044195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604028416000).

2664044195904 is an abundant number, since it is smaller than the sum of its proper divisors (8544012636096).

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

2664044195904 is a wasteful number, since it uses less digits than its factorization.

2664044195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2664044195904 in words is "two trillion, six hundred sixty-four billion, forty-four million, one hundred ninety-five thousand, nine hundred four".