2120981436 has 240 divisors, whose sum is σ = 6629855232. Its totient is φ = 578534400.

The previous prime is 2120981431. The next prime is 2120981437. The reversal of 2120981436 is 6341890212.

2120981436 is a `hidden beast` number, since 212 + 0 + 9 + 8 + 1 + 436 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2120981436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120981431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6819721 + ... + 6820031.

Almost surely, 2^2120981436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120981436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314927616).

2120981436 is an abundant number, since it is smaller than the sum of its proper divisors (4508873796).

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

2120981436 is a wasteful number, since it uses less digits than its factorization.

2120981436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2120981436 is about 46054.1142136075. The cubic root of 2120981436 is about 1284.8298635693.

The spelling of 2120981436 in words is "two billion, one hundred twenty million, nine hundred eighty-one thousand, four hundred thirty-six".