2424798720 has 160 divisors (see below), whose sum is σ = 8613332640. Its totient is φ = 646594560.

The previous prime is 2424798709. The next prime is 2424798743. The reversal of 2424798720 is 278974242.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51580 + ... + 86660.

It is an arithmetic number, because the mean of its divisors is an integer number (53833329).

Almost surely, 2^2424798720 is an apocalyptic number.

2424798720 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 2424798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306666320).

2424798720 is an abundant number, since it is smaller than the sum of its proper divisors (6188533920).

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

2424798720 is an equidigital number, since it uses as much as digits as its factorization.

2424798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35113 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2424798720 is about 49242.2452778100. The cubic root of 2424798720 is about 1343.4615189773.

The spelling of 2424798720 in words is "two billion, four hundred twenty-four million, seven hundred ninety-eight thousand, seven hundred twenty".