2734287864 has 128 divisors (see below), whose sum is σ = 8753011200. Its totient is φ = 690992640.

The previous prime is 2734287793. The next prime is 2734287877. The reversal of 2734287864 is 4687824372.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48382 + ... + 88370.

It is an arithmetic number, because the mean of its divisors is an integer number (68382900).

Almost surely, 2^2734287864 is an apocalyptic number.

2734287864 is a gapful number since it is divisible by the number (24) 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 2734287864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376505600).

2734287864 is an abundant number, since it is smaller than the sum of its proper divisors (6018723336).

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

2734287864 is a wasteful number, since it uses less digits than its factorization.

2734287864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40053 (or 40049 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 2734287864 is about 52290.4184722211. The cubic root of 2734287864 is about 1398.3463236413.

The spelling of 2734287864 in words is "two billion, seven hundred thirty-four million, two hundred eighty-seven thousand, eight hundred sixty-four".