2746985472 has 528 divisors, whose sum is σ = 10218624000. Its totient is φ = 704471040.

The previous prime is 2746985431. The next prime is 2746985491. The reversal of 2746985472 is 2745896472.

2746985472 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 98 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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, 34771929 + ... + 34772007.

Almost surely, 2^2746985472 is an apocalyptic number.

2746985472 is a gapful number since it is divisible by the number (22) 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 2746985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109312000).

2746985472 is an abundant number, since it is smaller than the sum of its proper divisors (7471638528).

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

2746985472 is a wasteful number, since it uses less digits than its factorization.

2746985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2746985472 is about 52411.6921306687. The cubic root of 2746985472 is about 1400.5075493066.

The spelling of 2746985472 in words is "two billion, seven hundred forty-six million, nine hundred eighty-five thousand, four hundred seventy-two".