2906106000 has 160 divisors (see below), whose sum is σ = 10707909888. Its totient is φ = 664243200.

The previous prime is 2906105981. The next prime is 2906106001. The reversal of 2906106000 is 6016092.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2906106001) 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, 7404 + ... + 76596.

Almost surely, 2^2906106000 is an apocalyptic number.

2906106000 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 2906106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353954944).

2906106000 is an abundant number, since it is smaller than the sum of its proper divisors (7801803888).

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

2906106000 is a wasteful number, since it uses less digits than its factorization.

2906106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69226 (or 69210 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2906106000 is about 53908.3110475556. The cubic root of 2906106000 is about 1427.0432983364.

The spelling of 2906106000 in words is "two billion, nine hundred six million, one hundred six thousand".