2542600200 has 288 divisors, whose sum is σ = 9236462400. Its totient is φ = 576898560.

The previous prime is 2542600187. The next prime is 2542600211. The reversal of 2542600200 is 20062452.

It is a super-3 number, since 3×2542600200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5791581 + ... + 5792019.

It is an arithmetic number, because the mean of its divisors is an integer number (32071050).

Almost surely, 2^2542600200 is an apocalyptic number.

2542600200 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 2542600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618231200).

2542600200 is an abundant number, since it is smaller than the sum of its proper divisors (6693862200).

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

2542600200 is a wasteful number, since it uses less digits than its factorization.

2542600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2542600200 is about 50424.2025222016. The cubic root of 2542600200 is about 1364.8744131663.

Adding to 2542600200 its reverse (20062452), we get a palindrome (2562662652).

The spelling of 2542600200 in words is "two billion, five hundred forty-two million, six hundred thousand, two hundred".