2472321975552 has 576 divisors, whose sum is σ = 8866436382720. Its totient is φ = 669241958400.

The previous prime is 2472321975547. The next prime is 2472321975577. The reversal of 2472321975552 is 2555791232742.

2472321975552 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 3 + 2 + 19 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2472321975552² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30600553 + ... + 30681239.

It is an arithmetic number, because the mean of its divisors is an integer number (15393118720).

Almost surely, 2^{2472321975552} is an apocalyptic number.

2472321975552 is a gapful number since it is divisible by the number (22) 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 2472321975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433218191360).

2472321975552 is an abundant number, since it is smaller than the sum of its proper divisors (6394114407168).

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

2472321975552 is a wasteful number, since it uses less digits than its factorization.

2472321975552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80767 (or 80747 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 2472321975552 in words is "two trillion, four hundred seventy-two billion, three hundred twenty-one million, nine hundred seventy-five thousand, five hundred fifty-two".