2724676416 has 336 divisors, whose sum is σ = 10164031488. Its totient is φ = 676684800.

The previous prime is 2724676403. The next prime is 2724676457. The reversal of 2724676416 is 6146764272.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018761 + ... + 1021431.

Almost surely, 2^2724676416 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 2724676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082015744).

2724676416 is an abundant number, since it is smaller than the sum of its proper divisors (7439355072).

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

2724676416 is a wasteful number, since it uses less digits than its factorization.

2724676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2717 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2724676416 is about 52198.4330799307. The cubic root of 2724676416 is about 1396.7059316362.

The spelling of 2724676416 in words is "two billion, seven hundred twenty-four million, six hundred seventy-six thousand, four hundred sixteen".