2433974033920 has 160 divisors (see below), whose sum is σ = 6856084620000. Its totient is φ = 816998154240.

The previous prime is 2433974033833. The next prime is 2433974033923. The reversal of 2433974033920 is 293304793342.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433974033923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2958295 + ... + 3690454.

It is an arithmetic number, because the mean of its divisors is an integer number (42850528875).

Almost surely, 2^{2433974033920} is an apocalyptic number.

2433974033920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2433974033920 is an abundant number, since it is smaller than the sum of its proper divisors (4422110586080).

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

2433974033920 is a wasteful number, since it uses less digits than its factorization.

2433974033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648796 (or 6648780 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 49.

The spelling of 2433974033920 in words is "two trillion, four hundred thirty-three billion, nine hundred seventy-four million, thirty-three thousand, nine hundred twenty".