2037504672 has 576 divisors, whose sum is σ = 7756560000. Its totient is φ = 515579904.

The previous prime is 2037504671. The next prime is 2037504731. The reversal of 2037504672 is 2764057302.

It is a happy number.

It is a super-7 number, since 7×2037504672⁷ (a number of 67 digits) contains 7777777 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2037504671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13674454 + ... + 13674602.

It is an arithmetic number, because the mean of its divisors is an integer number (13466250).

Almost surely, 2^2037504672 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 2037504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280000).

2037504672 is an abundant number, since it is smaller than the sum of its proper divisors (5719055328).

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

2037504672 is a wasteful number, since it uses less digits than its factorization.

2037504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2037504672 is about 45138.7269647694. The cubic root of 2037504672 is about 1267.7478161155.

The spelling of 2037504672 in words is "two billion, thirty-seven million, five hundred four thousand, six hundred seventy-two".