2730633984 has 144 divisors (see below), whose sum is σ = 8696402400. Its totient is φ = 840167424.

The previous prime is 2730633877. The next prime is 2730634007. The reversal of 2730633984 is 4893360372.

2730633984 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 633 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74662 + ... + 105050.

Almost surely, 2^2730633984 is an apocalyptic number.

2730633984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348201200).

2730633984 is an abundant number, since it is smaller than the sum of its proper divisors (5965768416).

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

2730633984 is a wasteful number, since it uses less digits than its factorization.

2730633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30427 (or 30407 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2730633984 is about 52255.4684602483. The cubic root of 2730633984 is about 1397.7231672005.

The spelling of 2730633984 in words is "two billion, seven hundred thirty million, six hundred thirty-three thousand, nine hundred eighty-four".