2671535553330 has 128 divisors (see below), whose sum is σ = 7659679334400. Its totient is φ = 583060161024.

The previous prime is 2671535553319. The next prime is 2671535553343. The reversal of 2671535553330 is 333555351762.

It is a happy number.

It is a super-3 number, since 3×2671535553330³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2671535553330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2262231 + ... + 3234309.

It is an arithmetic number, because the mean of its divisors is an integer number (59841244800).

Almost surely, 2^{2671535553330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671535553330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829839667200).

2671535553330 is an abundant number, since it is smaller than the sum of its proper divisors (4988143781070).

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

2671535553330 is a wasteful number, since it uses less digits than its factorization.

2671535553330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972688.

The product of its (nonzero) digits is 4252500, while the sum is 48.

The spelling of 2671535553330 in words is "two trillion, six hundred seventy-one billion, five hundred thirty-five million, five hundred fifty-three thousand, three hundred thirty".