2413461760 has 144 divisors (see below), whose sum is σ = 6120422784. Its totient is φ = 909950976.

The previous prime is 2413461707. The next prime is 2413461769. The reversal of 2413461760 is 671643142.

It is not an unprimeable number, because it can be changed into a prime (2413461769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148559 + ... + 2149681.

It is an arithmetic number, because the mean of its divisors is an integer number (42502936).

Almost surely, 2^2413461760 is an apocalyptic number.

2413461760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060211392).

2413461760 is an abundant number, since it is smaller than the sum of its proper divisors (3706961024).

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

2413461760 is a wasteful number, since it uses less digits than its factorization.

2413461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2413461760 is about 49126.9962444276. The cubic root of 2413461760 is about 1341.3644970694.

The spelling of 2413461760 in words is "two billion, four hundred thirteen million, four hundred sixty-one thousand, seven hundred sixty".