2540122200 has 768 divisors, whose sum is σ = 11249280000. Its totient is φ = 511488000.

The previous prime is 2540122177. The next prime is 2540122213. The reversal of 2540122200 is 22210452.

2540122200 is a `hidden beast` number, since 2 + 540 + 122 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17047726 + ... + 17047874.

It is an arithmetic number, because the mean of its divisors is an integer number (14647500).

Almost surely, 2^2540122200 is an apocalyptic number.

2540122200 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 2540122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

2540122200 is an abundant number, since it is smaller than the sum of its proper divisors (8709157800).

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

2540122200 is a wasteful number, since it uses less digits than its factorization.

2540122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2540122200 is about 50399.6249986049. The cubic root of 2540122200 is about 1364.4308700913.

Adding to 2540122200 its reverse (22210452), we get a palindrome (2562332652).

The spelling of 2540122200 in words is "two billion, five hundred forty million, one hundred twenty-two thousand, two hundred".