2151241200 has 240 divisors, whose sum is σ = 8107918560. Its totient is φ = 539873280.

The previous prime is 2151241181. The next prime is 2151241201. The reversal of 2151241200 is 21421512.

It is a tau number, because it is divible by the number of its divisors (240).

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 (2151241201) 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 47 ways as a sum of consecutive naturals, for example, 177742 + ... + 189458.

It is an arithmetic number, because the mean of its divisors is an integer number (33782994).

Almost surely, 2^2151241200 is an apocalyptic number.

2151241200 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 2151241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053959280).

2151241200 is an abundant number, since it is smaller than the sum of its proper divisors (5956677360).

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

2151241200 is a wasteful number, since it uses less digits than its factorization.

2151241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11744 counting only the distinct ones).

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

The square root of 2151241200 is about 46381.4747501629. The cubic root of 2151241200 is about 1290.9112004558.

Adding to 2151241200 its reverse (21421512), we get a palindrome (2172662712).

The spelling of 2151241200 in words is "two billion, one hundred fifty-one million, two hundred forty-one thousand, two hundred".