2107863648 has 288 divisors, whose sum is σ = 7143776640. Its totient is φ = 604661760.

The previous prime is 2107863647. The next prime is 2107863671. The reversal of 2107863648 is 8463687012.

2107863648 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 8 + 636 + 4 + 8 = 666.

2107863648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107863647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624536 + ... + 1625832.

It is an arithmetic number, because the mean of its divisors is an integer number (24804780).

Almost surely, 2^2107863648 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 2107863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571888320).

2107863648 is an abundant number, since it is smaller than the sum of its proper divisors (5035912992).

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

2107863648 is a wasteful number, since it uses less digits than its factorization.

2107863648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2107863648 is about 45911.4762123807. The cubic root of 2107863648 is about 1282.1755904619.

The spelling of 2107863648 in words is "two billion, one hundred seven million, eight hundred sixty-three thousand, six hundred forty-eight".