2724627642948 has 144 divisors (see below), whose sum is σ = 7519677984000. Its totient is φ = 860245217568.

The previous prime is 2724627642931. The next prime is 2724627643091. The reversal of 2724627642948 is 8492467264272.

It is a happy number.

2724627642948 is a `hidden beast` number, since 2 + 72 + 4 + 6 + 276 + 4 + 294 + 8 = 666.

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, 129616383 + ... + 129637401.

It is an arithmetic number, because the mean of its divisors is an integer number (52219986000).

Almost surely, 2^{2724627642948} 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 2724627642948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759838992000).

2724627642948 is an abundant number, since it is smaller than the sum of its proper divisors (4795050341052).

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

2724627642948 is a wasteful number, since it uses less digits than its factorization.

2724627642948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28076 (or 28062 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 2724627642948 in words is "two trillion, seven hundred twenty-four billion, six hundred twenty-seven million, six hundred forty-two thousand, nine hundred forty-eight".