2121034400 has 36 divisors (see below), whose sum is σ = 5177977182. Its totient is φ = 848413440.

The previous prime is 2121034387. The next prime is 2121034459. The reversal of 2121034400 is 44301212.

It can be written as a sum of positive squares in 3 ways, for example, as 1687895056 + 433139344 = 41084^2 + 20812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1324847 + ... + 1326446.

Almost surely, 2^2121034400 is an apocalyptic number.

2121034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121034400 is an abundant number, since it is smaller than the sum of its proper divisors (3056942782).

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

2121034400 is a wasteful number, since it uses less digits than its factorization.

2121034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651313 (or 2651300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2121034400 is about 46054.6892292196. The cubic root of 2121034400 is about 1284.8405581721.

Adding to 2121034400 its reverse (44301212), we get a palindrome (2165335612).

The spelling of 2121034400 in words is "two billion, one hundred twenty-one million, thirty-four thousand, four hundred".