2826138624 has 88 divisors (see below), whose sum is σ = 7792683360. Its totient is φ = 909533184.

The previous prime is 2826138619. The next prime is 2826138643. The reversal of 2826138624 is 4268316282.

It is a super-2 number, since 2×2826138624² = 15974119044129226752, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 73227 + ... + 104949.

It is an arithmetic number, because the mean of its divisors is an integer number (88553220).

Almost surely, 2^2826138624 is an apocalyptic number.

2826138624 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 2826138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896341680).

2826138624 is an abundant number, since it is smaller than the sum of its proper divisors (4966544736).

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

2826138624 is a wasteful number, since it uses less digits than its factorization.

2826138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31775 (or 31757 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 2826138624 is about 53161.4392581691. The cubic root of 2826138624 is about 1413.8320426668.

The spelling of 2826138624 in words is "two billion, eight hundred twenty-six million, one hundred thirty-eight thousand, six hundred twenty-four".