2740395840 has 672 divisors, whose sum is σ = 11423416320. Its totient is φ = 543449088.

The previous prime is 2740395829. The next prime is 2740395841. The reversal of 2740395840 is 485930472.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2740395792 and 2740395801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740395841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21577857 + ... + 21577983.

Almost surely, 2^2740395840 is an apocalyptic number.

2740395840 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 2740395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711708160).

2740395840 is an abundant number, since it is smaller than the sum of its proper divisors (8683020480).

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

2740395840 is a wasteful number, since it uses less digits than its factorization.

2740395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2740395840 is about 52348.7902439015. The cubic root of 2740395840 is about 1399.3867790583.

The spelling of 2740395840 in words is "two billion, seven hundred forty million, three hundred ninety-five thousand, eight hundred forty".