2672051772 has 192 divisors, whose sum is σ = 7535130624. Its totient is φ = 728555520.

The previous prime is 2672051741. The next prime is 2672051783. The reversal of 2672051772 is 2771502762.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2672051772.

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, 4330408 + ... + 4331024.

It is an arithmetic number, because the mean of its divisors is an integer number (39245472).

Almost surely, 2^2672051772 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 2672051772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767565312).

2672051772 is an abundant number, since it is smaller than the sum of its proper divisors (4863078852).

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

2672051772 is a wasteful number, since it uses less digits than its factorization.

2672051772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 2672051772 is about 51691.8927105596. The cubic root of 2672051772 is about 1387.6553769346.

The spelling of 2672051772 in words is "two billion, six hundred seventy-two million, fifty-one thousand, seven hundred seventy-two".