2889742464 has 144 divisors (see below), whose sum is σ = 9673362270. Its totient is φ = 825624576.

The previous prime is 2889742441. The next prime is 2889742477. The reversal of 2889742464 is 4642479882.

It can be written as a sum of positive squares in only one way, i.e., 2872102464 + 17640000 = 53592^2 + 4200^2 .

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

It is a super-2 number, since 2×2889742464² = 16701223016489582592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2889742464.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30852 + ... + 82044.

Almost surely, 2^2889742464 is an apocalyptic number.

2889742464 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 2889742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836681135).

2889742464 is an abundant number, since it is smaller than the sum of its proper divisors (6783619806).

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

2889742464 is a wasteful number, since it uses less digits than its factorization.

2889742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51227 (or 51205 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 2889742464 is about 53756.3248743811. The cubic root of 2889742464 is about 1424.3598173342.

The spelling of 2889742464 in words is "two billion, eight hundred eighty-nine million, seven hundred forty-two thousand, four hundred sixty-four".