2540334400 has 42 divisors (see below), whose sum is σ = 6250814270. Its totient is φ = 1016133120.

The previous prime is 2540334367. The next prime is 2540334403. The reversal of 2540334400 is 44330452.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 2528882944 = 3384^2 + 50288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540334403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 792255 + ... + 795454.

Almost surely, 2^2540334400 is an apocalyptic number.

2540334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540334400 is an abundant number, since it is smaller than the sum of its proper divisors (3710479870).

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

2540334400 is a wasteful number, since it uses less digits than its factorization.

2540334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587731 (or 1587716 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2540334400 is about 50401.7301290343. The cubic root of 2540334400 is about 1364.4688635611.

Adding to 2540334400 its reverse (44330452), we get a palindrome (2584664852).

The spelling of 2540334400 in words is "two billion, five hundred forty million, three hundred thirty-four thousand, four hundred".