2735485020 has 168 divisors, whose sum is σ = 8653097376. Its totient is φ = 726060672.

The previous prime is 2735485019. The next prime is 2735485031. The reversal of 2735485020 is 205845372.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5438089 + ... + 5438591.

It is an arithmetic number, because the mean of its divisors is an integer number (51506532).

Almost surely, 2^2735485020 is an apocalyptic number.

2735485020 is a gapful number since it is divisible by the number (20) 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 2735485020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326548688).

2735485020 is an abundant number, since it is smaller than the sum of its proper divisors (5917612356).

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

2735485020 is a wasteful number, since it uses less digits than its factorization.

2735485020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2735485020 is about 52301.8644027151. The cubic root of 2735485020 is about 1398.5503736559.

The spelling of 2735485020 in words is "two billion, seven hundred thirty-five million, four hundred eighty-five thousand, twenty".