2742551136 has 240 divisors, whose sum is σ = 8751204000. Its totient is φ = 837568512.

The previous prime is 2742551101. The next prime is 2742551153. The reversal of 2742551136 is 6311552472.

2742551136 is a `hidden beast` number, since 2 + 74 + 2 + 551 + 1 + 36 = 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 2742551136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6705300 + ... + 6705708.

It is an arithmetic number, because the mean of its divisors is an integer number (36463350).

Almost surely, 2^2742551136 is an apocalyptic number.

2742551136 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 2742551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375602000).

2742551136 is an abundant number, since it is smaller than the sum of its proper divisors (6008652864).

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

2742551136 is a wasteful number, since it uses less digits than its factorization.

2742551136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2742551136 is about 52369.3721176796. The cubic root of 2742551136 is about 1399.7535511768.

It can be divided in two parts, 2742 and 551136, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 2742551136 in words is "two billion, seven hundred forty-two million, five hundred fifty-one thousand, one hundred thirty-six".