2140668288 has 384 divisors, whose sum is σ = 7504099200. Its totient is φ = 577290240.

The previous prime is 2140668253. The next prime is 2140668301. The reversal of 2140668288 is 8828660412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4092795 + ... + 4093317.

It is an arithmetic number, because the mean of its divisors is an integer number (19541925).

Almost surely, 2^2140668288 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 2140668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752049600).

2140668288 is an abundant number, since it is smaller than the sum of its proper divisors (5363430912).

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

2140668288 is a wasteful number, since it uses less digits than its factorization.

2140668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2140668288 is about 46267.3566134915. The cubic root of 2140668288 is about 1288.7928711314.

The spelling of 2140668288 in words is "two billion, one hundred forty million, six hundred sixty-eight thousand, two hundred eighty-eight".