2037642048 has 224 divisors, whose sum is σ = 6561246720. Its totient is φ = 616273920.

The previous prime is 2037642041. The next prime is 2037642073. The reversal of 2037642048 is 8402467302.

2037642048 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 642 + 0 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2037642041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369561 + ... + 1371047.

It is an arithmetic number, because the mean of its divisors is an integer number (29291280).

Almost surely, 2^2037642048 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 2037642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280623360).

2037642048 is an abundant number, since it is smaller than the sum of its proper divisors (4523604672).

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

2037642048 is a wasteful number, since it uses less digits than its factorization.

2037642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2037642048 is about 45140.2486479638. The cubic root of 2037642048 is about 1267.7763075364.

The spelling of 2037642048 in words is "two billion, thirty-seven million, six hundred forty-two thousand, forty-eight".