2478139776000 has 1056 divisors, whose sum is σ = 10806838653312. Its totient is φ = 533082931200.

The previous prime is 2478139775999. The next prime is 2478139776029. The reversal of 2478139776000 is 6779318742.

2478139776000 is a `hidden beast` number, since 2 + 478 + 13 + 97 + 76 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2478139776000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137078962 + ... + 137097038.

Almost surely, 2^{2478139776000} is an apocalyptic number.

2478139776000 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 2478139776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403419326656).

2478139776000 is an abundant number, since it is smaller than the sum of its proper divisors (8328698877312).

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

2478139776000 is a wasteful number, since it uses less digits than its factorization.

2478139776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18142 (or 18111 counting only the distinct ones).

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

The spelling of 2478139776000 in words is "two trillion, four hundred seventy-eight billion, one hundred thirty-nine million, seven hundred seventy-six thousand".