2472238746432 has 672 divisors, whose sum is σ = 9117799635840. Its totient is φ = 651093811200.

The previous prime is 2472238746337. The next prime is 2472238746437. The reversal of 2472238746432 is 2346478322742.

It is a happy number.

2472238746432 is a `hidden beast` number, since 2 + 4 + 72 + 2 + 3 + 87 + 464 + 32 = 666.

2472238746432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2472238746432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472238746437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156872468 + ... + 1156874604.

It is an arithmetic number, because the mean of its divisors is an integer number (13568154220).

Almost surely, 2^{2472238746432} 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 2472238746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558899817920).

2472238746432 is an abundant number, since it is smaller than the sum of its proper divisors (6645560889408).

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

2472238746432 is a wasteful number, since it uses less digits than its factorization.

2472238746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3213 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 2472238746432 in words is "two trillion, four hundred seventy-two billion, two hundred thirty-eight million, seven hundred forty-six thousand, four hundred thirty-two".