2420723968 has 144 divisors (see below), whose sum is σ = 5412029616. Its totient is φ = 1073479680.

The previous prime is 2420723953. The next prime is 2420723971. The reversal of 2420723968 is 8693270242.

It can be written as a sum of positive squares in 8 ways, for example, as 1509167104 + 911556864 = 38848^2 + 30192^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 15418546 + ... + 15418702.

It is an arithmetic number, because the mean of its divisors is an integer number (37583539).

Almost surely, 2^2420723968 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 2420723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706014808).

2420723968 is an abundant number, since it is smaller than the sum of its proper divisors (2991305648).

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

2420723968 is a wasteful number, since it uses less digits than its factorization.

2420723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 2420723968 is about 49200.8533259333. The cubic root of 2420723968 is about 1342.7085572648.

The spelling of 2420723968 in words is "two billion, four hundred twenty million, seven hundred twenty-three thousand, nine hundred sixty-eight".