2890387344 has 80 divisors (see below), whose sum is σ = 8177601600. Its totient is φ = 874265088.

The previous prime is 2890387343. The next prime is 2890387361. The reversal of 2890387344 is 4437830982.

2890387344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2890387293 and 2890387302.

It is not an unprimeable number, because it can be changed into a prime (2890387343) 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, 2439 + ... + 76070.

It is an arithmetic number, because the mean of its divisors is an integer number (102220020).

Almost surely, 2^2890387344 is an apocalyptic number.

2890387344 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 2890387344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088800800).

2890387344 is an abundant number, since it is smaller than the sum of its proper divisors (5287214256).

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

2890387344 is a wasteful number, since it uses less digits than its factorization.

2890387344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78592 (or 78586 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2890387344 is about 53762.3227176803. The cubic root of 2890387344 is about 1424.4657636658.

The spelling of 2890387344 in words is "two billion, eight hundred ninety million, three hundred eighty-seven thousand, three hundred forty-four".