2742215736 has 128 divisors (see below), whose sum is σ = 8228908800. Its totient is φ = 752302080.

The previous prime is 2742215711. The next prime is 2742215741. The reversal of 2742215736 is 6375122472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2742215694 and 2742215703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87171 + ... + 114381.

It is an arithmetic number, because the mean of its divisors is an integer number (64288350).

Almost surely, 2^2742215736 is an apocalyptic number.

2742215736 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 2742215736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114454400).

2742215736 is an abundant number, since it is smaller than the sum of its proper divisors (5486693064).

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

2742215736 is a wasteful number, since it uses less digits than its factorization.

2742215736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27269 (or 27265 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 2742215736 is about 52366.1697663673. The cubic root of 2742215736 is about 1399.6964879466.

The spelling of 2742215736 in words is "two billion, seven hundred forty-two million, two hundred fifteen thousand, seven hundred thirty-six".