2191252904064 has 96 divisors (see below), whose sum is σ = 7206352583040. Its totient is φ = 626072256000.

The previous prime is 2191252904063. The next prime is 2191252904147. The reversal of 2191252904064 is 4604092521912.

2191252904064 is a `hidden beast` number, since 2 + 19 + 12 + 529 + 0 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2191252904063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135858312 + ... + 135874439.

It is an arithmetic number, because the mean of its divisors is an integer number (75066172740).

Almost surely, 2^{2191252904064} is an apocalyptic number.

2191252904064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2191252904064 is an abundant number, since it is smaller than the sum of its proper divisors (5015099678976).

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

2191252904064 is a wasteful number, since it uses less digits than its factorization.

2191252904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271732778 (or 271732763 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2191252904064 in words is "two trillion, one hundred ninety-one billion, two hundred fifty-two million, nine hundred four thousand, sixty-four".