2461747456 has 81 divisors (see below), whose sum is σ = 5729077011. Its totient is φ = 1052653056.

The previous prime is 2461747411. The next prime is 2461747493. The reversal of 2461747456 is 6547471642.

The square root of 2461747456 is 49616.

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

It is a super-3 number, since 3×2461747456³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5556771 + ... + 5557213.

Almost surely, 2^2461747456 is an apocalyptic number.

2461747456 is the 49616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461747456

2461747456 is an abundant number, since it is smaller than the sum of its proper divisors (3267329555).

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

2461747456 is an frugal number, since it uses more digits than its factorization.

2461747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 452 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The cubic root of 2461747456 is about 1350.2509740984.

The spelling of 2461747456 in words is "two billion, four hundred sixty-one million, seven hundred forty-seven thousand, four hundred fifty-six".