2749919040 has 336 divisors, whose sum is σ = 10494971136. Its totient is φ = 655257600.

The previous prime is 2749919033. The next prime is 2749919059. The reversal of 2749919040 is 409199472.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931769 + ... + 1933191.

Almost surely, 2^2749919040 is an apocalyptic number.

2749919040 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 2749919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247485568).

2749919040 is an abundant number, since it is smaller than the sum of its proper divisors (7745052096).

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

2749919040 is a wasteful number, since it uses less digits than its factorization.

2749919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2749919040 is about 52439.6704795139. The cubic root of 2749919040 is about 1401.0059165198.

The spelling of 2749919040 in words is "two billion, seven hundred forty-nine million, nine hundred nineteen thousand, forty".