2123301254400 has 864 divisors, whose sum is σ = 8230223232000. Its totient is φ = 534156042240.

The previous prime is 2123301254387. The next prime is 2123301254489. The reversal of 2123301254400 is 44521033212.

2123301254400 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 0 + 1 + 254 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2123301254400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 863480371 + ... + 863482829.

Almost surely, 2^{2123301254400} is an apocalyptic number.

2123301254400 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 2123301254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115111616000).

2123301254400 is an abundant number, since it is smaller than the sum of its proper divisors (6106921977600).

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

2123301254400 is a wasteful number, since it uses less digits than its factorization.

2123301254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2123301254400 its reverse (44521033212), we get a palindrome (2167822287612).

The spelling of 2123301254400 in words is "two trillion, one hundred twenty-three billion, three hundred one million, two hundred fifty-four thousand, four hundred".