2037349728 has 72 divisors (see below), whose sum is σ = 5838048216. Its totient is φ = 673920000.

The previous prime is 2037349703. The next prime is 2037349753. The reversal of 2037349728 is 8279437302.

It is an interprime number because it is at equal distance from previous prime (2037349703) and next prime (2037349753).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10728 + ... + 64728.

It is an arithmetic number, because the mean of its divisors is an integer number (81084003).

Almost surely, 2^2037349728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2037349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919024108).

2037349728 is an abundant number, since it is smaller than the sum of its proper divisors (3800698488).

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

2037349728 is a wasteful number, since it uses less digits than its factorization.

2037349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54148 (or 54137 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2037349728 is about 45137.0106232125. The cubic root of 2037349728 is about 1267.7156796007.

The spelling of 2037349728 in words is "two billion, thirty-seven million, three hundred forty-nine thousand, seven hundred twenty-eight".