2125354204800 has 576 divisors, whose sum is σ = 7874462668800. Its totient is φ = 566052986880.

The previous prime is 2125354204789. The next prime is 2125354204801. The reversal of 2125354204800 is 84024535212.

2125354204800 is a `hidden beast` number, since 2 + 1 + 2 + 535 + 42 + 0 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2125354204800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2125354204801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 994549332 + ... + 994551468.

Almost surely, 2^{2125354204800} is an apocalyptic number.

2125354204800 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 2125354204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937231334400).

2125354204800 is an abundant number, since it is smaller than the sum of its proper divisors (5749108464000).

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

2125354204800 is a wasteful number, since it uses less digits than its factorization.

2125354204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2125354204800 in words is "two trillion, one hundred twenty-five billion, three hundred fifty-four million, two hundred four thousand, eight hundred".