2121445626300 has 1944 divisors, whose sum is σ = 9258549758640. Its totient is φ = 401548492800.

The previous prime is 2121445626277. The next prime is 2121445626317. The reversal of 2121445626300 is 36265441212.

2121445626300 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 4 + 5 + 6 + 2 + 630 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 9263954586 + ... + 9263954814.

Almost surely, 2^{2121445626300} is an apocalyptic number.

2121445626300 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 2121445626300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629274879320).

2121445626300 is an abundant number, since it is smaller than the sum of its proper divisors (7137104132340).

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

2121445626300 is a wasteful number, since it uses less digits than its factorization.

2121445626300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2121445626300 in words is "two trillion, one hundred twenty-one billion, four hundred forty-five million, six hundred twenty-six thousand, three hundred".