2742701832 has 144 divisors (see below), whose sum is σ = 8443775340. Its totient is φ = 799393536.

The previous prime is 2742701807. The next prime is 2742701867. The reversal of 2742701832 is 2381072472.

It can be written as a sum of positive squares in 2 ways, for example, as 2738010276 + 4691556 = 52326^2 + 2166^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333838 + ... + 341954.

Almost surely, 2^2742701832 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 2742701832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221887670).

2742701832 is an abundant number, since it is smaller than the sum of its proper divisors (5701073508).

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

2742701832 is a wasteful number, since it uses less digits than its factorization.

2742701832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2742701832 is about 52370.8108778163. The cubic root of 2742701832 is about 1399.7791883041.

The spelling of 2742701832 in words is "two billion, seven hundred forty-two million, seven hundred one thousand, eight hundred thirty-two".