2820678731136 has 384 divisors, whose sum is σ = 9667112832000. Its totient is φ = 788756032512.

The previous prime is 2820678731113. The next prime is 2820678731197. The reversal of 2820678731136 is 6311378760282.

It is a happy number.

2820678731136 is a `hidden beast` number, since 28 + 206 + 78 + 7 + 311 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18495451 + ... + 18647333.

It is an arithmetic number, because the mean of its divisors is an integer number (25174773000).

Almost surely, 2^{2820678731136} 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 2820678731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833556416000).

2820678731136 is an abundant number, since it is smaller than the sum of its proper divisors (6846434100864).

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

2820678731136 is a wasteful number, since it uses less digits than its factorization.

2820678731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151971 (or 151942 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2820678731136 in words is "two trillion, eight hundred twenty billion, six hundred seventy-eight million, seven hundred thirty-one thousand, one hundred thirty-six".