2740034400 has 144 divisors (see below), whose sum is σ = 8949927168. Its totient is φ = 728128000.

The previous prime is 2740034389. The next prime is 2740034411. The reversal of 2740034400 is 44300472.

It is an interprime number because it is at equal distance from previous prime (2740034389) and next prime (2740034411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744565 + ... + 748235.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 2^2740034400 is an apocalyptic number.

2740034400 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 2740034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474963584).

2740034400 is an abundant number, since it is smaller than the sum of its proper divisors (6209892768).

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

2740034400 is a wasteful number, since it uses less digits than its factorization.

2740034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2740034400 is about 52345.3379012878. The cubic root of 2740034400 is about 1399.3252530811.

Adding to 2740034400 its reverse (44300472), we get a palindrome (2784334872).

The spelling of 2740034400 in words is "two billion, seven hundred forty million, thirty-four thousand, four hundred".