2993232420864 has 1344 divisors, whose sum is σ = 10901169561600. Its totient is φ = 808206336000.

The previous prime is 2993232420859. The next prime is 2993232420877. The reversal of 2993232420864 is 4680242323992.

2993232420864 is a `hidden beast` number, since 2 + 99 + 323 + 24 + 208 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2993232420864² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2993232420864.

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, 19822731189 + ... + 19822731339.

Almost surely, 2^{2993232420864} is an apocalyptic number.

2993232420864 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 2993232420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450584780800).

2993232420864 is an abundant number, since it is smaller than the sum of its proper divisors (7907937140736).

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

2993232420864 is a wasteful number, since it uses less digits than its factorization.

2993232420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2993232420864 in words is "two trillion, nine hundred ninety-three billion, two hundred thirty-two million, four hundred twenty thousand, eight hundred sixty-four".