2038961232 has 480 divisors, whose sum is σ = 7813428480. Its totient is φ = 479969280.

The previous prime is 2038961207. The next prime is 2038961237. The reversal of 2038961232 is 2321698302.

2038961232 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 9 + 612 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038961237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5466198 + ... + 5466570.

It is an arithmetic number, because the mean of its divisors is an integer number (16277976).

Almost surely, 2^2038961232 is an apocalyptic number.

2038961232 is a gapful number since it is divisible by the number (22) 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 2038961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906714240).

2038961232 is an abundant number, since it is smaller than the sum of its proper divisors (5774467248).

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

2038961232 is a wasteful number, since it uses less digits than its factorization.

2038961232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2038961232 is about 45154.8583432614. The cubic root of 2038961232 is about 1268.0498376588.

The spelling of 2038961232 in words is "two billion, thirty-eight million, nine hundred sixty-one thousand, two hundred thirty-two".