2130759440 has 20 divisors (see below), whose sum is σ = 4954015884. Its totient is φ = 852303744.

The previous prime is 2130759403. The next prime is 2130759457. The reversal of 2130759440 is 449570312.

It can be written as a sum of positive squares in 2 ways, for example, as 1573232896 + 557526544 = 39664^2 + 23612^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2130759440² = 9080271582298227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2130759440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13317167 + ... + 13317326.

Almost surely, 2^2130759440 is an apocalyptic number.

2130759440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130759440 is an abundant number, since it is smaller than the sum of its proper divisors (2823256444).

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

2130759440 is a wasteful number, since it uses less digits than its factorization.

2130759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26634506 (or 26634500 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2130759440 is about 46160.1499131015. The cubic root of 2130759440 is about 1286.8012488945.

The spelling of 2130759440 in words is "two billion, one hundred thirty million, seven hundred fifty-nine thousand, four hundred forty".