2121626440 has 32 divisors (see below), whose sum is σ = 4811258880. Its totient is φ = 841966272.

The previous prime is 2121626413. The next prime is 2121626447. The reversal of 2121626440 is 446261212.

It is a super-3 number, since 3×2121626440³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121626399 and 2121626408.

It is not an unprimeable number, because it can be changed into a prime (2121626447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203742 + ... + 213901.

It is an arithmetic number, because the mean of its divisors is an integer number (150351840).

Almost surely, 2^2121626440 is an apocalyptic number.

2121626440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121626440 is an abundant number, since it is smaller than the sum of its proper divisors (2689632440).

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

2121626440 is a wasteful number, since it uses less digits than its factorization.

2121626440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417781 (or 417777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2121626440 is about 46061.1163564237. The cubic root of 2121626440 is about 1284.9600920247.

Adding to 2121626440 its reverse (446261212), we get a palindrome (2567887652).

The spelling of 2121626440 in words is "two billion, one hundred twenty-one million, six hundred twenty-six thousand, four hundred forty".