2251667160 has 192 divisors, whose sum is σ = 7683137280. Its totient is φ = 592997760.

The previous prime is 2251667149. The next prime is 2251667161. The reversal of 2251667160 is 617661522.

It is a happy number.

2251667160 is a `hidden beast` number, since 22 + 516 + 67 + 1 + 60 = 666.

2251667160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251667161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805365 + ... + 808155.

It is an arithmetic number, because the mean of its divisors is an integer number (40016340).

Almost surely, 2^2251667160 is an apocalyptic number.

2251667160 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 2251667160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841568640).

2251667160 is an abundant number, since it is smaller than the sum of its proper divisors (5431470120).

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

2251667160 is a wasteful number, since it uses less digits than its factorization.

2251667160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2251667160 is about 47451.7350578459. The cubic root of 2251667160 is about 1310.6942612921.

It can be divided in two parts, 22516 and 67160, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 2251667160 in words is "two billion, two hundred fifty-one million, six hundred sixty-seven thousand, one hundred sixty".