2120654406 has 64 divisors (see below), whose sum is σ = 4734878400. Its totient is φ = 628701696.

The previous prime is 2120654401. The next prime is 2120654413. The reversal of 2120654406 is 6044560212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120654401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983240 + ... + 1984308.

It is an arithmetic number, because the mean of its divisors is an integer number (73982475).

Almost surely, 2^2120654406 is an apocalyptic number.

2120654406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120654406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367439200).

2120654406 is an abundant number, since it is smaller than the sum of its proper divisors (2614223994).

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

2120654406 is a wasteful number, since it uses less digits than its factorization.

2120654406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2120654406 is about 46050.5635796132. The cubic root of 2120654406 is about 1284.7638250363.

The spelling of 2120654406 in words is "two billion, one hundred twenty million, six hundred fifty-four thousand, four hundred six".