2167452672 has 528 divisors, whose sum is σ = 7840828800. Its totient is φ = 529858560.

The previous prime is 2167452629. The next prime is 2167452701. The reversal of 2167452672 is 2762547612.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (282240) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127497208 + ... + 127497224.

Almost surely, 2^2167452672 is an apocalyptic number.

2167452672 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 2167452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920414400).

2167452672 is an abundant number, since it is smaller than the sum of its proper divisors (5673376128).

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

2167452672 is a wasteful number, since it uses less digits than its factorization.

2167452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2167452672 is about 46555.9090986311. The cubic root of 2167452672 is about 1294.1458014267.

The spelling of 2167452672 in words is "two billion, one hundred sixty-seven million, four hundred fifty-two thousand, six hundred seventy-two".