2813414804928 has 1512 divisors, whose sum is σ = 10675528194240. Its totient is φ = 701955072000.

The previous prime is 2813414804909. The next prime is 2813414804933. The reversal of 2813414804928 is 8294084143182.

2813414804928 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 4 + 148 + 0 + 492 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27855592078 + ... + 27855592178.

It is an arithmetic number, because the mean of its divisors is an integer number (7060534520).

Almost surely, 2^{2813414804928} is an apocalyptic number.

2813414804928 is a gapful number since it is divisible by the number (28) 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 2813414804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337764097120).

2813414804928 is an abundant number, since it is smaller than the sum of its proper divisors (7862113389312).

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

2813414804928 is a wasteful number, since it uses less digits than its factorization.

2813414804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2813414804928 in words is "two trillion, eight hundred thirteen billion, four hundred fourteen million, eight hundred four thousand, nine hundred twenty-eight".