2291796029952 has 960 divisors, whose sum is σ = 8085274509312. Its totient is φ = 615444480000.

The previous prime is 2291796029849. The next prime is 2291796029993. The reversal of 2291796029952 is 2599206971922.

2291796029952 is a `hidden beast` number, since 2 + 2 + 9 + 17 + 9 + 602 + 9 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×2291796029952² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2291796029952.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3084516493 + ... + 3084517235.

Almost surely, 2^{2291796029952} is an apocalyptic number.

2291796029952 is a gapful number since it is divisible by the number (22) 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 2291796029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042637254656).

2291796029952 is an abundant number, since it is smaller than the sum of its proper divisors (5793478479360).

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

2291796029952 is a wasteful number, since it uses less digits than its factorization.

2291796029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 2291796029952 in words is "two trillion, two hundred ninety-one billion, seven hundred ninety-six million, twenty-nine thousand, nine hundred fifty-two".