2746416960 has 336 divisors, whose sum is σ = 10983772800. Its totient is φ = 616845312.

The previous prime is 2746416949. The next prime is 2746416971. The reversal of 2746416960 is 696146472.

2746416960 is a `hidden beast` number, since 27 + 464 + 169 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2746416949) and next prime (2746416971).

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

It is a super-2 number, since 2×2746416960² = 15085612236351283200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188286 + ... + 1190594.

It is an arithmetic number, because the mean of its divisors is an integer number (32689800).

Almost surely, 2^2746416960 is an apocalyptic number.

2746416960 is a gapful number since it is divisible by the number (20) 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 2746416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491886400).

2746416960 is an abundant number, since it is smaller than the sum of its proper divisors (8237355840).

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

2746416960 is a wasteful number, since it uses less digits than its factorization.

2746416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2746416960 is about 52406.2683273671. The cubic root of 2746416960 is about 1400.4109269923.

The spelling of 2746416960 in words is "two billion, seven hundred forty-six million, four hundred sixteen thousand, nine hundred sixty".