2478147961 has 9 divisors (see below), whose sum is σ = 2519077701. Its totient is φ = 2437875132.

The previous prime is 2478147937. The next prime is 2478147983. The reversal of 2478147961 is 1697418742.

The square root of 2478147961 is 49781.

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

It is not a de Polignac number, because 2478147961 - 2⁹ = 2478147449 is a prime.

It is a super-2 number, since 2×2478147961² = 12282434633216915042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2478147911) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3334956 + ... + 3335698.

Almost surely, 2^2478147961 is an apocalyptic number.

2478147961 is the 49781-st square number.

2478147961 is the 24891-st centered octagonal number.

It is an amenable number.

2478147961 is a deficient number, since it is larger than the sum of its proper divisors (40929740).

2478147961 is an frugal number, since it uses more digits than its factorization.

2478147961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 810 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The cubic root of 2478147961 is about 1353.2428599047.

Multiplying 2478147961 by its sum of digits (49), we get a square (121429250089 = 348467²).

The spelling of 2478147961 in words is "two billion, four hundred seventy-eight million, one hundred forty-seven thousand, nine hundred sixty-one".