2467052160 has 256 divisors, whose sum is σ = 8087506560. Its totient is φ = 639500288.

The previous prime is 2467052111. The next prime is 2467052177. The reversal of 2467052160 is 612507642.

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 31 ways as a sum of consecutive naturals, for example, 18007612 + ... + 18007748.

Almost surely, 2^2467052160 is an apocalyptic number.

2467052160 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 2467052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043753280).

2467052160 is an abundant number, since it is smaller than the sum of its proper divisors (5620454400).

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

2467052160 is a wasteful number, since it uses less digits than its factorization.

2467052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2467052160 is about 49669.4288269958. The cubic root of 2467052160 is about 1351.2201424336.

It can be divided in two parts, 246705 and 2160, that added together give a triangular number (248865 = T₇₀₅).

The spelling of 2467052160 in words is "two billion, four hundred sixty-seven million, fifty-two thousand, one hundred sixty".