2742106290 has 128 divisors (see below), whose sum is σ = 8687720448. Its totient is φ = 536263680.

The previous prime is 2742106231. The next prime is 2742106291. The reversal of 2742106290 is 926012472.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2742106291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4357 + ... + 74183.

It is an arithmetic number, because the mean of its divisors is an integer number (67872816).

Almost surely, 2^2742106290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742106290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343860224).

2742106290 is an abundant number, since it is smaller than the sum of its proper divisors (5945614158).

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

2742106290 is a wasteful number, since it uses less digits than its factorization.

2742106290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69872.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2742106290 is about 52365.1247492069. The cubic root of 2742106290 is about 1399.6778663604.

The spelling of 2742106290 in words is "two billion, seven hundred forty-two million, one hundred six thousand, two hundred ninety".