2107291648 has 288 divisors, whose sum is σ = 5646775680. Its totient is φ = 775864320.

The previous prime is 2107291631. The next prime is 2107291649. The reversal of 2107291648 is 8461927012.

It is a self number, because there is not a number n which added to its sum of digits gives 2107291648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107291649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25389015 + ... + 25389097.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^2107291648 is an apocalyptic number.

2107291648 is a gapful number since it is divisible by the number (28) 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 2107291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

2107291648 is an abundant number, since it is smaller than the sum of its proper divisors (3539484032).

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

2107291648 is a wasteful number, since it uses less digits than its factorization.

2107291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2107291648 is about 45905.2464104050. The cubic root of 2107291648 is about 1282.0596008613.

The spelling of 2107291648 in words is "two billion, one hundred seven million, two hundred ninety-one thousand, six hundred forty-eight".