2542211100 has 216 divisors, whose sum is σ = 9361973712. Its totient is φ = 568857600.

The previous prime is 2542211069. The next prime is 2542211101. The reversal of 2542211100 is 11122452.

2542211100 is a `hidden beast` number, since 2 + 542 + 21 + 1 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118824 + ... + 138576.

Almost surely, 2^2542211100 is an apocalyptic number.

2542211100 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 2542211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680986856).

2542211100 is an abundant number, since it is smaller than the sum of its proper divisors (6819762612).

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

2542211100 is a wasteful number, since it uses less digits than its factorization.

2542211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19797 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2542211100 is about 50420.3441083061. The cubic root of 2542211100 is about 1364.8047863165.

Adding to 2542211100 its reverse (11122452), we get a palindrome (2553333552).

The spelling of 2542211100 in words is "two billion, five hundred forty-two million, two hundred eleven thousand, one hundred".