2106479840 has 192 divisors, whose sum is σ = 5591255040. Its totient is φ = 746127360.

The previous prime is 2106479831. The next prime is 2106479849. The reversal of 2106479840 is 489746012.

It is an interprime number because it is at equal distance from previous prime (2106479831) and next prime (2106479849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106479849) 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, 3285920 + ... + 3286560.

It is an arithmetic number, because the mean of its divisors is an integer number (29121120).

Almost surely, 2^2106479840 is an apocalyptic number.

2106479840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795627520).

2106479840 is an abundant number, since it is smaller than the sum of its proper divisors (3484775200).

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

2106479840 is a wasteful number, since it uses less digits than its factorization.

2106479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 2106479840 is about 45896.4033449245. The cubic root of 2106479840 is about 1281.8949471900.

The spelling of 2106479840 in words is "two billion, one hundred six million, four hundred seventy-nine thousand, eight hundred forty".