2746382496 has 216 divisors, whose sum is σ = 8586799200. Its totient is φ = 767669760.

The previous prime is 2746382491. The next prime is 2746382503. The reversal of 2746382496 is 6942836472.

It is not an unprimeable number, because it can be changed into a prime (2746382491) 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, 1962405 + ... + 1963803.

It is an arithmetic number, because the mean of its divisors is an integer number (39753700).

Almost surely, 2^2746382496 is an apocalyptic number.

2746382496 is a gapful number since it is divisible by the number (26) 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 2746382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293399600).

2746382496 is an abundant number, since it is smaller than the sum of its proper divisors (5840416704).

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

2746382496 is a wasteful number, since it uses less digits than its factorization.

2746382496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1428 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 2746382496 is about 52405.9395107081. The cubic root of 2746382496 is about 1400.4050691825.

The spelling of 2746382496 in words is "two billion, seven hundred forty-six million, three hundred eighty-two thousand, four hundred ninety-six".