2472064 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 1013760.

The previous prime is 2472061. The next prime is 2472077. The reversal of 2472064 is 4602742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2472064² = 12222200840192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27732 + ... + 27820.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2472064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2472064 is an abundant number, since it is smaller than the sum of its proper divisors (3403136).

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

2472064 is an equidigital number, since it uses as much as digits as its factorization.

2472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2472064 is about 1572.2798733050. The cubic root of 2472064 is about 135.2134529055.

The spelling of 2472064 in words is "two million, four hundred seventy-two thousand, sixty-four".