2469823233120 has 768 divisors, whose sum is σ = 9273122611200. Its totient is φ = 612129208320.

The previous prime is 2469823233083. The next prime is 2469823233167. The reversal of 2469823233120 is 213323289642.

2469823233120 is a `hidden beast` number, since 2 + 4 + 6 + 9 + 8 + 2 + 323 + 312 + 0 = 666.

It is a super-2 number, since 2×2469823233120² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1322882427 + ... + 1322884293.

It is an arithmetic number, because the mean of its divisors is an integer number (12074378400).

Almost surely, 2^{2469823233120} is an apocalyptic number.

2469823233120 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 2469823233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636561305600).

2469823233120 is an abundant number, since it is smaller than the sum of its proper divisors (6803299378080).

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

2469823233120 is a wasteful number, since it uses less digits than its factorization.

2469823233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2469823233120 in words is "two trillion, four hundred sixty-nine billion, eight hundred twenty-three million, two hundred thirty-three thousand, one hundred twenty".