2107948590 has 128 divisors (see below), whose sum is σ = 6263101440. Its totient is φ = 500112000.

The previous prime is 2107948589. The next prime is 2107948627. The reversal of 2107948590 is 958497012.

2107948590 is a `hidden beast` number, since 2 + 10 + 7 + 9 + 48 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132040 + ... + 147140.

It is an arithmetic number, because the mean of its divisors is an integer number (48930480).

Almost surely, 2^2107948590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107948590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131550720).

2107948590 is an abundant number, since it is smaller than the sum of its proper divisors (4155152850).

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

2107948590 is a wasteful number, since it uses less digits than its factorization.

2107948590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2107948590 is about 45912.4012658889. The cubic root of 2107948590 is about 1282.1928131281.

The spelling of 2107948590 in words is "two billion, one hundred seven million, nine hundred forty-eight thousand, five hundred ninety".