2013751440 has 60 divisors (see below), whose sum is σ = 6762851004. Its totient is φ = 537000192.

The previous prime is 2013751429. The next prime is 2013751451. The reversal of 2013751440 is 441573102.

It is an interprime number because it is at equal distance from previous prime (2013751429) and next prime (2013751451).

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 1800474624 = 14604^2 + 42432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397719 + ... + 1399158.

Almost surely, 2^2013751440 is an apocalyptic number.

2013751440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013751440 is an abundant number, since it is smaller than the sum of its proper divisors (4749099564).

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

2013751440 is a wasteful number, since it uses less digits than its factorization.

2013751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796896 (or 2796887 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2013751440 is about 44874.8419495824. The cubic root of 2013751440 is about 1262.8020783548.

The spelling of 2013751440 in words is "two billion, thirteen million, seven hundred fifty-one thousand, four hundred forty".