2735425290 has 256 divisors, whose sum is σ = 7955781120. Its totient is φ = 595230720.

The previous prime is 2735425289. The next prime is 2735425313. The reversal of 2735425290 is 925245372.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7882897 + ... + 7883243.

It is an arithmetic number, because the mean of its divisors is an integer number (31077270).

Almost surely, 2^2735425290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735425290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977890560).

2735425290 is an abundant number, since it is smaller than the sum of its proper divisors (5220355830).

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

2735425290 is a wasteful number, since it uses less digits than its factorization.

2735425290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2735425290 is about 52301.2933874488. The cubic root of 2735425290 is about 1398.5401943494.

The spelling of 2735425290 in words is "two billion, seven hundred thirty-five million, four hundred twenty-five thousand, two hundred ninety".