2601042355200 has 264 divisors, whose sum is σ = 8680068799168. Its totient is φ = 686875115520.

The previous prime is 2601042355189. The next prime is 2601042355207. The reversal of 2601042355200 is 25532401062.

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

It is not an unprimeable number, because it can be changed into a prime (2601042355207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7745994 + ... + 8074806.

Almost surely, 2^{2601042355200} is an apocalyptic number.

2601042355200 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 2601042355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340034399584).

2601042355200 is an abundant number, since it is smaller than the sum of its proper divisors (6079026443968).

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

2601042355200 is a wasteful number, since it uses less digits than its factorization.

2601042355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328949 (or 328926 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2601042355200 its reverse (25532401062), we get a palindrome (2626574756262).

The spelling of 2601042355200 in words is "two trillion, six hundred one billion, forty-two million, three hundred fifty-five thousand, two hundred".