2801145600 has 324 divisors, whose sum is σ = 10927628712. Its totient is φ = 678912000.

The previous prime is 2801145577. The next prime is 2801145619. The reversal of 2801145600 is 65411082.

2801145600 is a `hidden beast` number, since 2 + 8 + 0 + 11 + 45 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631390 + ... + 635810.

Almost surely, 2^2801145600 is an apocalyptic number.

2801145600 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 2801145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463814356).

2801145600 is an abundant number, since it is smaller than the sum of its proper divisors (8126483112).

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

2801145600 is a wasteful number, since it uses less digits than its factorization.

2801145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2801145600 is about 52925.8500167924. The cubic root of 2801145600 is about 1409.6519436659.

Adding to 2801145600 its reverse (65411082), we get a palindrome (2866556682).

The spelling of 2801145600 in words is "two billion, eight hundred one million, one hundred forty-five thousand, six hundred".