2734077520 has 80 divisors (see below), whose sum is σ = 6446618640. Its totient is φ = 1078272000.

The previous prime is 2734077503. The next prime is 2734077527. The reversal of 2734077520 is 257704372.

2734077520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 119596096 + 2614481424 = 10936^2 + 51132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2734077520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734077527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100870 + ... + 2102170.

It is an arithmetic number, because the mean of its divisors is an integer number (80582733).

Almost surely, 2^2734077520 is an apocalyptic number.

2734077520 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 2734077520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223309320).

2734077520 is an abundant number, since it is smaller than the sum of its proper divisors (3712541120).

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

2734077520 is a wasteful number, since it uses less digits than its factorization.

2734077520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 37.

The square root of 2734077520 is about 52288.4071281580. The cubic root of 2734077520 is about 1398.3104652733.

The spelling of 2734077520 in words is "two billion, seven hundred thirty-four million, seventy-seven thousand, five hundred twenty".