2739504040 has 256 divisors, whose sum is σ = 7896268800. Its totient is φ = 832398336.

The previous prime is 2739504029. The next prime is 2739504091. The reversal of 2739504040 is 404059372.

It is a junction number, because it is equal to n+sod(n) for n = 2739503987 and 2739504005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11462241 + ... + 11462479.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 2^2739504040 is an apocalyptic number.

2739504040 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 2739504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400).

2739504040 is an abundant number, since it is smaller than the sum of its proper divisors (5156764760).

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

2739504040 is a wasteful number, since it uses less digits than its factorization.

2739504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2739504040 is about 52340.2716844305. The cubic root of 2739504040 is about 1399.2349629702.

The spelling of 2739504040 in words is "two billion, seven hundred thirty-nine million, five hundred four thousand, forty".