2671504617600 has 2304 divisors, whose sum is σ = 12181845312000. Its totient is φ = 553822617600.

The previous prime is 2671504617563. The next prime is 2671504617601. The reversal of 2671504617600 is 67164051762.

2671504617600 is a `hidden beast` number, since 2 + 6 + 71 + 50 + 461 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2671504617601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9117763054 + ... + 9117763346.

It is an arithmetic number, because the mean of its divisors is an integer number (5287259250).

Almost surely, 2^{2671504617600} is an apocalyptic number.

2671504617600 is a gapful number since it is divisible by the number (20) 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 2671504617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090922656000).

2671504617600 is an abundant number, since it is smaller than the sum of its proper divisors (9510340694400).

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

2671504617600 is a wasteful number, since it uses less digits than its factorization.

2671504617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2671504617600 in words is "two trillion, six hundred seventy-one billion, five hundred four million, six hundred seventeen thousand, six hundred".