2672207241600 has 768 divisors, whose sum is σ = 10299640780800. Its totient is φ = 603036057600.

The previous prime is 2672207241589. The next prime is 2672207241611. The reversal of 2672207241600 is 61427022762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2672207241589) and next prime (2672207241611).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73489024 + ... + 73525376.

It is an arithmetic number, because the mean of its divisors is an integer number (13410990600).

Almost surely, 2^{2672207241600} is an apocalyptic number.

2672207241600 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 2672207241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149820390400).

2672207241600 is an abundant number, since it is smaller than the sum of its proper divisors (7627433539200).

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

2672207241600 is a wasteful number, since it uses less digits than its factorization.

2672207241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36443 (or 36426 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 2672207241600 in words is "two trillion, six hundred seventy-two billion, two hundred seven million, two hundred forty-one thousand, six hundred".