2452830720 has 160 divisors (see below), whose sum is σ = 8303093568. Its totient is φ = 615579648.

The previous prime is 2452830713. The next prime is 2452830727. The reversal of 2452830720 is 270382542.

It is an interprime number because it is at equal distance from previous prime (2452830713) and next prime (2452830727).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2452830727) by changing a digit.

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, 121167 + ... + 139953.

Almost surely, 2^2452830720 is an apocalyptic number.

2452830720 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 2452830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151546784).

2452830720 is an abundant number, since it is smaller than the sum of its proper divisors (5850262848).

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

2452830720 is a wasteful number, since it uses less digits than its factorization.

2452830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18830 (or 18814 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2452830720 is about 49526.0610184174. The cubic root of 2452830720 is about 1348.6187463733.

The spelling of 2452830720 in words is "two billion, four hundred fifty-two million, eight hundred thirty thousand, seven hundred twenty".