2076514272 has 192 divisors, whose sum is σ = 6945523200. Its totient is φ = 591252480.

The previous prime is 2076514207. The next prime is 2076514291. The reversal of 2076514272 is 2724156702.

It is a happy number.

2076514272 is a `hidden beast` number, since 2 + 0 + 76 + 514 + 2 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 3150679 + ... + 3151337.

It is an arithmetic number, because the mean of its divisors is an integer number (36174600).

Almost surely, 2^2076514272 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 2076514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472761600).

2076514272 is an abundant number, since it is smaller than the sum of its proper divisors (4869008928).

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

2076514272 is a wasteful number, since it uses less digits than its factorization.

2076514272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2076514272 is about 45568.7861589488. The cubic root of 2076514272 is about 1275.7873946019.

The spelling of 2076514272 in words is "two billion, seventy-six million, five hundred fourteen thousand, two hundred seventy-two".