2465536601088 has 528 divisors, whose sum is σ = 7901369627424. Its totient is φ = 734260101120.

The previous prime is 2465536601053. The next prime is 2465536601147. The reversal of 2465536601088 is 8801066355642.

2465536601088 is a `hidden beast` number, since 2 + 4 + 6 + 553 + 6 + 6 + 0 + 1 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543854306 + ... + 1543855902.

Almost surely, 2^{2465536601088} 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 2465536601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950684813712).

2465536601088 is an abundant number, since it is smaller than the sum of its proper divisors (5435833026336).

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

2465536601088 is a wasteful number, since it uses less digits than its factorization.

2465536601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2465536601088 in words is "two trillion, four hundred sixty-five billion, five hundred thirty-six million, six hundred one thousand, eighty-eight".