2949048482688 has 288 divisors, whose sum is σ = 10769124408120. Its totient is φ = 765986457600.

The previous prime is 2949048482687. The next prime is 2949048482689. The reversal of 2949048482688 is 8862848409492.

2949048482688 is a `hidden beast` number, since 2 + 9 + 4 + 9 + 0 + 484 + 82 + 68 + 8 = 666.

2949048482688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2949048482687) and next prime (2949048482689).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2949048482688³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949048482683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1753783 + ... + 2995638.

Almost surely, 2^{2949048482688} is an apocalyptic number.

2949048482688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2949048482688 is an abundant number, since it is smaller than the sum of its proper divisors (7820075925432).

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

2949048482688 is a wasteful number, since it uses less digits than its factorization.

2949048482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749466 (or 4749444 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 2949048482688 in words is "two trillion, nine hundred forty-nine billion, forty-eight million, four hundred eighty-two thousand, six hundred eighty-eight".