2106958056 has 192 divisors, whose sum is σ = 6503690880. Its totient is φ = 565931520.

The previous prime is 2106958039. The next prime is 2106958097. The reversal of 2106958056 is 6508596012.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2106957999 and 2106958017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649290 + ... + 1650566.

It is an arithmetic number, because the mean of its divisors is an integer number (33873390).

Almost surely, 2^2106958056 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 2106958056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251845440).

2106958056 is an abundant number, since it is smaller than the sum of its proper divisors (4396732824).

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

2106958056 is a wasteful number, since it uses less digits than its factorization.

2106958056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2106958056 is about 45901.6127821235. The cubic root of 2106958056 is about 1281.9919457115.

The spelling of 2106958056 in words is "two billion, one hundred six million, nine hundred fifty-eight thousand, fifty-six".