2251196160 has 144 divisors (see below), whose sum is σ = 7216579104. Its totient is φ = 598081536.

The previous prime is 2251196141. The next prime is 2251196173. The reversal of 2251196160 is 616911522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200984 + ... + 1202856.

Almost surely, 2^2251196160 is an apocalyptic number.

2251196160 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 2251196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608289552).

2251196160 is an abundant number, since it is smaller than the sum of its proper divisors (4965382944).

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

2251196160 is a wasteful number, since it uses less digits than its factorization.

2251196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2251196160 is about 47446.7718606862. The cubic root of 2251196160 is about 1310.6028653023.

The spelling of 2251196160 in words is "two billion, two hundred fifty-one million, one hundred ninety-six thousand, one hundred sixty".