2413121440 has 48 divisors (see below), whose sum is σ = 6036359112. Its totient is φ = 908468224.

The previous prime is 2413121401. The next prime is 2413121471. The reversal of 2413121440 is 441213142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1661703696 + 751417744 = 40764^2 + 27412^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440869 + ... + 446308.

Almost surely, 2^2413121440 is an apocalyptic number.

2413121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413121440 is an abundant number, since it is smaller than the sum of its proper divisors (3623237672).

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

2413121440 is a wasteful number, since it uses less digits than its factorization.

2413121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887209 (or 887201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2413121440 is about 49123.5324462726. The cubic root of 2413121440 is about 1341.3014459186.

Adding to 2413121440 its reverse (441213142), we get a palindrome (2854334582).

The spelling of 2413121440 in words is "two billion, four hundred thirteen million, one hundred twenty-one thousand, four hundred forty".