2746931440 has 160 divisors (see below), whose sum is σ = 7148113920. Its totient is φ = 973286400.

The previous prime is 2746931431. The next prime is 2746931501. The reversal of 2746931440 is 441396472.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2746931393 and 2746931402.

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 31 ways as a sum of consecutive naturals, for example, 9916582 + ... + 9916858.

It is an arithmetic number, because the mean of its divisors is an integer number (44675712).

Almost surely, 2^2746931440 is an apocalyptic number.

2746931440 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 2746931440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574056960).

2746931440 is an abundant number, since it is smaller than the sum of its proper divisors (4401182480).

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

2746931440 is a wasteful number, since it uses less digits than its factorization.

2746931440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2746931440 is about 52411.1766706301. The cubic root of 2746931440 is about 1400.4983667899.

The spelling of 2746931440 in words is "two billion, seven hundred forty-six million, nine hundred thirty-one thousand, four hundred forty".