2826642144 has 48 divisors (see below), whose sum is σ = 7423354512. Its totient is φ = 941779968.

The previous prime is 2826642101. The next prime is 2826642149. The reversal of 2826642144 is 4412466282.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826642149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255022 + ... + 265874.

It is an arithmetic number, because the mean of its divisors is an integer number (154653219).

Almost surely, 2^2826642144 is an apocalyptic number.

2826642144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2826642144 is an abundant number, since it is smaller than the sum of its proper divisors (4596712368).

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

2826642144 is a wasteful number, since it uses less digits than its factorization.

2826642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13579 (or 13571 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 2826642144 is about 53166.1748106820. The cubic root of 2826642144 is about 1413.9160029781.

The spelling of 2826642144 in words is "two billion, eight hundred twenty-six million, six hundred forty-two thousand, one hundred forty-four".