2038077440 has 96 divisors (see below), whose sum is σ = 5588987040. Its totient is φ = 698744832.

The previous prime is 2038077413. The next prime is 2038077467. The reversal of 2038077440 is 447708302.

It is an interprime number because it is at equal distance from previous prime (2038077413) and next prime (2038077467).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2038077440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57464 + ... + 85896.

It is an arithmetic number, because the mean of its divisors is an integer number (58218615).

Almost surely, 2^2038077440 is an apocalyptic number.

2038077440 is a gapful number since it is divisible by the number (20) 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 2038077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794493520).

2038077440 is an abundant number, since it is smaller than the sum of its proper divisors (3550909600).

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

2038077440 is an equidigital number, since it uses as much as digits as its factorization.

2038077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467 (or 28447 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 2038077440 is about 45145.0710487867. The cubic root of 2038077440 is about 1267.8665982318.

The spelling of 2038077440 in words is "two billion, thirty-eight million, seventy-seven thousand, four hundred forty".