2291801428800 has 1008 divisors, whose sum is σ = 9154323738560. Its totient is φ = 563925473280.

The previous prime is 2291801428753. The next prime is 2291801428841. The reversal of 2291801428800 is 88241081922.

2291801428800 is a `hidden beast` number, since 2 + 291 + 80 + 1 + 4 + 288 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 854192259 + ... + 854194941.

Almost surely, 2^{2291801428800} is an apocalyptic number.

2291801428800 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 2291801428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577161869280).

2291801428800 is an abundant number, since it is smaller than the sum of its proper divisors (6862522309760).

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

2291801428800 is an equidigital number, since it uses as much as digits as its factorization.

2291801428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 2291801428800 in words is "two trillion, two hundred ninety-one billion, eight hundred one million, four hundred twenty-eight thousand, eight hundred".