2414346496 has 81 divisors (see below), whose sum is σ = 5013426621. Its totient is φ = 1160395776.

The previous prime is 2414346491. The next prime is 2414346497. The reversal of 2414346496 is 6946434142.

The square root of 2414346496 is 49136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2160390400 + 253956096 = 46480^2 + 15936^2 .

It is a Duffinian number.

Its product of digits (497664) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (2414346491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29088471 + ... + 29088553.

Almost surely, 2^2414346496 is an apocalyptic number.

2414346496 is the 49136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414346496

2414346496 is an abundant number, since it is smaller than the sum of its proper divisors (2599080125).

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

2414346496 is an frugal number, since it uses more digits than its factorization.

2414346496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The cubic root of 2414346496 is about 1341.5283845462.

The spelling of 2414346496 in words is "two billion, four hundred fourteen million, three hundred forty-six thousand, four hundred ninety-six".