2433619968 has 96 divisors (see below), whose sum is σ = 6987380400. Its totient is φ = 748781568.

The previous prime is 2433619963. The next prime is 2433619973. The reversal of 2433619968 is 8699163342.

It is an interprime number because it is at equal distance from previous prime (2433619963) and next prime (2433619973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2433619968² = 11845012297296642048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2433619968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433619963) 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, 64638 + ... + 95106.

Almost surely, 2^2433619968 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 2433619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493690200).

2433619968 is an abundant number, since it is smaller than the sum of its proper divisors (4553760432).

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

2433619968 is a wasteful number, since it uses less digits than its factorization.

2433619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30507 (or 30487 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 2433619968 is about 49331.7338839818. The cubic root of 2433619968 is about 1345.0886870483.

The spelling of 2433619968 in words is "two billion, four hundred thirty-three million, six hundred nineteen thousand, nine hundred sixty-eight".