2478139776 has 192 divisors, whose sum is σ = 8629714080. Its totient is φ = 666353664.

The previous prime is 2478139757. The next prime is 2478139789. The reversal of 2478139776 is 6779318742.

2478139776 is a `hidden beast` number, since 2 + 478 + 13 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2478139776² = 12282353498786660352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128050 + ... + 146126.

Almost surely, 2^2478139776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314857040).

2478139776 is an abundant number, since it is smaller than the sum of its proper divisors (6151574304).

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

2478139776 is a wasteful number, since it uses less digits than its factorization.

2478139776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18106 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 2478139776 is about 49780.9177898520. The cubic root of 2478139776 is about 1353.2413700415.

The spelling of 2478139776 in words is "two billion, four hundred seventy-eight million, one hundred thirty-nine thousand, seven hundred seventy-six".