2640816691200 has 1728 divisors, whose sum is σ = 10433392220160. Its totient is φ = 660897792000.

The previous prime is 2640816691199. The next prime is 2640816691217. The reversal of 2640816691200 is 21966180462.

2640816691200 is a `hidden beast` number, since 26 + 408 + 16 + 6 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15813273517 + ... + 15813273683.

It is an arithmetic number, because the mean of its divisors is an integer number (6037842720).

Almost surely, 2^{2640816691200} is an apocalyptic number.

2640816691200 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 2640816691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216696110080).

2640816691200 is an abundant number, since it is smaller than the sum of its proper divisors (7792575528960).

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

2640816691200 is a wasteful number, since it uses less digits than its factorization.

2640816691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2640816691200 in words is "two trillion, six hundred forty billion, eight hundred sixteen million, six hundred ninety-one thousand, two hundred".