2389826816 has 144 divisors (see below), whose sum is σ = 5549043024. Its totient is φ = 1017249792.

The previous prime is 2389826807. The next prime is 2389826827. The reversal of 2389826816 is 6186289832.

It can be written as a sum of positive squares in 8 ways, for example, as 8386816 + 2381440000 = 2896^2 + 48800^2 .

It is a super-2 number, since 2×2389826816² = 11422544420945395712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2998130 + ... + 2998926.

It is an arithmetic number, because the mean of its divisors is an integer number (38535021).

Almost surely, 2^2389826816 is an apocalyptic number.

2389826816 is a gapful number since it is divisible by the number (26) 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 2389826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774521512).

2389826816 is an abundant number, since it is smaller than the sum of its proper divisors (3159216208).

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

2389826816 is a wasteful number, since it uses less digits than its factorization.

2389826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 2389826816 is about 48885.8549684876. The cubic root of 2389826816 is about 1336.9714807722.

The spelling of 2389826816 in words is "two billion, three hundred eighty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".