2676429952 has 256 divisors, whose sum is σ = 6847545600. Its totient is φ = 1015676928.

The previous prime is 2676429947. The next prime is 2676429967. The reversal of 2676429952 is 2599246762.

It is a self number, because there is not a number n which added to its sum of digits gives 2676429952.

It is an unprimeable number.

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, 32246103 + ... + 32246185.

It is an arithmetic number, because the mean of its divisors is an integer number (26748225).

Almost surely, 2^2676429952 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 2676429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423772800).

2676429952 is an abundant number, since it is smaller than the sum of its proper divisors (4171115648).

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

2676429952 is a wasteful number, since it uses less digits than its factorization.

2676429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 2676429952 is about 51734.2241847696. The cubic root of 2676429952 is about 1388.4128584946.

The spelling of 2676429952 in words is "two billion, six hundred seventy-six million, four hundred twenty-nine thousand, nine hundred fifty-two".