2120955408 has 480 divisors, whose sum is σ = 7624512000. Its totient is φ = 558005760.

The previous prime is 2120955407. The next prime is 2120955409. The reversal of 2120955408 is 8045590212.

2120955408 is a `hidden beast` number, since 2 + 1 + 20 + 95 + 540 + 8 = 666.

2120955408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2120955407) and next prime (2120955409).

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 (2120955401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15258603 + ... + 15258741.

It is an arithmetic number, because the mean of its divisors is an integer number (15884400).

Almost surely, 2^2120955408 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 2120955408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812256000).

2120955408 is an abundant number, since it is smaller than the sum of its proper divisors (5503556592).

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

2120955408 is a wasteful number, since it uses less digits than its factorization.

2120955408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2120955408 is about 46053.8316321237. The cubic root of 2120955408 is about 1284.8246078752.

The spelling of 2120955408 in words is "two billion, one hundred twenty million, nine hundred fifty-five thousand, four hundred eight".