2743253136 has 320 divisors, whose sum is σ = 9132748800. Its totient is φ = 781208064.

The previous prime is 2743253111. The next prime is 2743253153. The reversal of 2743253136 is 6313523472.

2743253136 is a `hidden beast` number, since 274 + 3 + 253 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2743253136.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5014815 + ... + 5015361.

It is an arithmetic number, because the mean of its divisors is an integer number (28539840).

Almost surely, 2^2743253136 is an apocalyptic number.

2743253136 is a gapful number since it is divisible by the number (26) 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 2743253136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566374400).

2743253136 is an abundant number, since it is smaller than the sum of its proper divisors (6389495664).

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

2743253136 is a wasteful number, since it uses less digits than its factorization.

2743253136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2743253136 is about 52376.0740796788. The cubic root of 2743253136 is about 1399.8729707873.

The spelling of 2743253136 in words is "two billion, seven hundred forty-three million, two hundred fifty-three thousand, one hundred thirty-six".