2432628087552 has 1152 divisors, whose sum is σ = 8655456337920. Its totient is φ = 666630881280.

The previous prime is 2432628087499. The next prime is 2432628087557. The reversal of 2432628087552 is 2557808262342.

2432628087552 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 6 + 2 + 8 + 0 + 87 + 552 = 666.

2432628087552 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 (1152).

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

It is not an unprimeable number, because it can be changed into a prime (2432628087557) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2225642718 + ... + 2225643810.

It is an arithmetic number, because the mean of its divisors is an integer number (7513416960).

Almost surely, 2^{2432628087552} 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 2432628087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327728168960).

2432628087552 is an abundant number, since it is smaller than the sum of its proper divisors (6222828250368).

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

2432628087552 is a wasteful number, since it uses less digits than its factorization.

2432628087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2432628087552 in words is "two trillion, four hundred thirty-two billion, six hundred twenty-eight million, eighty-seven thousand, five hundred fifty-two".