2413149440 has 72 divisors (see below), whose sum is σ = 6224924328. Its totient is φ = 891002880.

The previous prime is 2413149437. The next prime is 2413149449. The reversal of 2413149440 is 449413142.

2413149440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 2398648576 = 3808^2 + 48976^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2413149397 and 2413149406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413149449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55871 + ... + 89150.

Almost surely, 2^2413149440 is an apocalyptic number.

2413149440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413149440 is an abundant number, since it is smaller than the sum of its proper divisors (3811774888).

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

2413149440 is a wasteful number, since it uses less digits than its factorization.

2413149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145055 (or 145041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2413149440 is about 49123.8174412372. The cubic root of 2413149440 is about 1341.3066337077.

The spelling of 2413149440 in words is "two billion, four hundred thirteen million, one hundred forty-nine thousand, four hundred forty".