2674314251136 has 512 divisors, whose sum is σ = 9138538713600. Its totient is φ = 760924569600.

The previous prime is 2674314251131. The next prime is 2674314251143. The reversal of 2674314251136 is 6311524134762.

2674314251136 is a `hidden beast` number, since 2 + 6 + 74 + 31 + 4 + 2 + 511 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2674314251091 and 2674314251100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674314251131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286293826 + ... + 286303166.

It is an arithmetic number, because the mean of its divisors is an integer number (17848708425).

Almost surely, 2^{2674314251136} 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 2674314251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569269356800).

2674314251136 is an abundant number, since it is smaller than the sum of its proper divisors (6464224462464).

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

2674314251136 is a wasteful number, since it uses less digits than its factorization.

2674314251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9817 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

Adding to 2674314251136 its reverse (6311524134762), we get a palindrome (8985838385898).

The spelling of 2674314251136 in words is "two trillion, six hundred seventy-four billion, three hundred fourteen million, two hundred fifty-one thousand, one hundred thirty-six".