2743686144 has 132 divisors (see below), whose sum is σ = 7951792576. Its totient is φ = 911167488.

The previous prime is 2743686137. The next prime is 2743686161. The reversal of 2743686144 is 4416863472.

2743686144 is a `hidden beast` number, since 27 + 4 + 3 + 6 + 8 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2743686144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4266687 + ... + 4267329.

Almost surely, 2^2743686144 is an apocalyptic number.

2743686144 is a gapful number since it is divisible by the number (24) 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 2743686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975896288).

2743686144 is an abundant number, since it is smaller than the sum of its proper divisors (5208106432).

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

2743686144 is a wasteful number, since it uses less digits than its factorization.

2743686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1111 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2743686144 is about 52380.2075597262. The cubic root of 2743686144 is about 1399.9466210941.

The spelling of 2743686144 in words is "two billion, seven hundred forty-three million, six hundred eighty-six thousand, one hundred forty-four".