2734007040 has 288 divisors, whose sum is σ = 9771955200. Its totient is φ = 723824640.

The previous prime is 2734007039. The next prime is 2734007041. The reversal of 2734007040 is 407004372.

It is an interprime number because it is at equal distance from previous prime (2734007039) and next prime (2734007041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2734006995 and 2734007013.

It is not an unprimeable number, because it can be changed into a prime (2734007041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8259675 + ... + 8260005.

It is an arithmetic number, because the mean of its divisors is an integer number (33930400).

Almost surely, 2^2734007040 is an apocalyptic number.

2734007040 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 2734007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885977600).

2734007040 is an abundant number, since it is smaller than the sum of its proper divisors (7037948160).

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

2734007040 is a wasteful number, since it uses less digits than its factorization.

2734007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2734007040 is about 52287.7331694538. The cubic root of 2734007040 is about 1398.2984497924.

The spelling of 2734007040 in words is "two billion, seven hundred thirty-four million, seven thousand, forty".