2734333920 has 144 divisors (see below), whose sum is σ = 9632068992. Its totient is φ = 705623040.

The previous prime is 2734333897. The next prime is 2734333949. The reversal of 2734333920 is 293334372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 14014 + ... + 75266.

It is an arithmetic number, because the mean of its divisors is an integer number (66889368).

Almost surely, 2^2734333920 is an apocalyptic number.

2734333920 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 2734333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816034496).

2734333920 is an abundant number, since it is smaller than the sum of its proper divisors (6897735072).

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

2734333920 is a wasteful number, since it uses less digits than its factorization.

2734333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61305 (or 61294 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 2734333920 is about 52290.8588569742. The cubic root of 2734333920 is about 1398.3541747870.

The spelling of 2734333920 in words is "two billion, seven hundred thirty-four million, three hundred thirty-three thousand, nine hundred twenty".