2037984 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 591360.

The previous prime is 2037979. The next prime is 2038019. The reversal of 2037984 is 4897302.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a zygodrome in base 2.

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, 28669 + ... + 28739.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2^2037984 is an apocalyptic number.

2037984 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 2037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2037984 is an abundant number, since it is smaller than the sum of its proper divisors (4058400).

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

2037984 is a wasteful number, since it uses less digits than its factorization.

2037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2037984 is about 1427.5797701004. The cubic root of 2037984 is about 126.7847221921.

The spelling of 2037984 in words is "two million, thirty-seven thousand, nine hundred eighty-four".