2048868864 has 320 divisors, whose sum is σ = 7165255680. Its totient is φ = 565678080.

The previous prime is 2048868853. The next prime is 2048868889. The reversal of 2048868864 is 4688688402.

2048868864 is a `hidden beast` number, since 20 + 488 + 6 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2048868864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999467 + ... + 3000149.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 2^2048868864 is an apocalyptic number.

2048868864 is a gapful number since it is divisible by the number (24) 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 2048868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

2048868864 is an abundant number, since it is smaller than the sum of its proper divisors (5116386816).

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

2048868864 is an equidigital number, since it uses as much as digits as its factorization.

2048868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 2048868864 is about 45264.4326596501. The cubic root of 2048868864 is about 1270.1004041562.

The spelling of 2048868864 in words is "two billion, forty-eight million, eight hundred sixty-eight thousand, eight hundred sixty-four".