2037768384 has 112 divisors (see below), whose sum is σ = 5600517120. Its totient is φ = 653214720.

The previous prime is 2037768311. The next prime is 2037768419. The reversal of 2037768384 is 4838677302.

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

It is a house 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, 1028707 + ... + 1030685.

Almost surely, 2^2037768384 is an apocalyptic number.

2037768384 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 2037768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800258560).

2037768384 is an abundant number, since it is smaller than the sum of its proper divisors (3562748736).

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

2037768384 is a wasteful number, since it uses less digits than its factorization.

2037768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 2037768384 is about 45141.6479982732. The cubic root of 2037768384 is about 1267.8025081601.

The spelling of 2037768384 in words is "two billion, thirty-seven million, seven hundred sixty-eight thousand, three hundred eighty-four".