2072506176 has 448 divisors, whose sum is σ = 7138172160. Its totient is φ = 591224832.

The previous prime is 2072506151. The next prime is 2072506207. The reversal of 2072506176 is 6716052702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2072506176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30932895 + ... + 30932961.

It is an arithmetic number, because the mean of its divisors is an integer number (15933420).

Almost surely, 2^2072506176 is an apocalyptic number.

2072506176 is a gapful number since it is divisible by the number (26) 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 2072506176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569086080).

2072506176 is an abundant number, since it is smaller than the sum of its proper divisors (5065665984).

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

2072506176 is an equidigital number, since it uses as much as digits as its factorization.

2072506176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2072506176 is about 45524.7863915911. The cubic root of 2072506176 is about 1274.9660226240.

Adding to 2072506176 its reverse (6716052702), we get a palindrome (8788558878).

The spelling of 2072506176 in words is "two billion, seventy-two million, five hundred six thousand, one hundred seventy-six".