2602146201600 has 648 divisors, whose sum is σ = 9586366933248. Its totient is φ = 617401548800.

The previous prime is 2602146201563. The next prime is 2602146201649. The reversal of 2602146201600 is 61026412062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55364812777 + ... + 55364812823.

Almost surely, 2^{2602146201600} is an apocalyptic number.

2602146201600 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 2602146201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793183466624).

2602146201600 is an abundant number, since it is smaller than the sum of its proper divisors (6984220731648).

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

2602146201600 is an frugal number, since it uses more digits than its factorization.

2602146201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2602146201600 in words is "two trillion, six hundred two billion, one hundred forty-six million, two hundred one thousand, six hundred".