2762413472 has 192 divisors, whose sum is σ = 7023034368. Its totient is φ = 1040256000.

The previous prime is 2762413471. The next prime is 2762413501. The reversal of 2762413472 is 2743142672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2762413471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6409097 + ... + 6409527.

It is an arithmetic number, because the mean of its divisors is an integer number (36578304).

Almost surely, 2^2762413472 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 2762413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511517184).

2762413472 is an abundant number, since it is smaller than the sum of its proper divisors (4260620896).

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

2762413472 is a wasteful number, since it uses less digits than its factorization.

2762413472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 2762413472 is about 52558.6669541761. Note that the first 3 decimals coincide. The cubic root of 2762413472 is about 1403.1245641684.

The spelling of 2762413472 in words is "two billion, seven hundred sixty-two million, four hundred thirteen thousand, four hundred seventy-two".