2181251072 has 360 divisors, whose sum is σ = 6275535840. Its totient is φ = 743178240.

The previous prime is 2181251057. The next prime is 2181251089. The reversal of 2181251072 is 2701521812.

It is a super-2 number, since 2×2181251072² = 9515712478202298368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114802679 + ... + 114802697.

It is an arithmetic number, because the mean of its divisors is an integer number (17432044).

Almost surely, 2^2181251072 is an apocalyptic number.

2181251072 is a gapful number since it is divisible by the number (22) 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 2181251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137767920).

2181251072 is an abundant number, since it is smaller than the sum of its proper divisors (4094284768).

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

2181251072 is a wasteful number, since it uses less digits than its factorization.

2181251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 2181251072 is about 46703.8657072410. The cubic root of 2181251072 is about 1296.8862504909.

Adding to 2181251072 its reverse (2701521812), we get a palindrome (4882772884).

The spelling of 2181251072 in words is "two billion, one hundred eighty-one million, two hundred fifty-one thousand, seventy-two".