2741315200 has 288 divisors, whose sum is σ = 7586049060. Its totient is φ = 977633280.

The previous prime is 2741315167. The next prime is 2741315201. The reversal of 2741315200 is 25131472.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 182574144 + 2558741056 = 13512^2 + 50584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2741315201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20009532 + ... + 20009668.

Almost surely, 2^2741315200 is an apocalyptic number.

2741315200 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 2741315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793024530).

2741315200 is an abundant number, since it is smaller than the sum of its proper divisors (4844733860).

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

2741315200 is a wasteful number, since it uses less digits than its factorization.

2741315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2741315200 is about 52357.5706082702. The cubic root of 2741315200 is about 1399.5432523636.

Adding to 2741315200 its reverse (25131472), we get a palindrome (2766446672).

The spelling of 2741315200 in words is "two billion, seven hundred forty-one million, three hundred fifteen thousand, two hundred".