2241585046400 has 288 divisors, whose sum is σ = 6591305171880. Its totient is φ = 750668083200.

The previous prime is 2241585046339. The next prime is 2241585046409. The reversal of 2241585046400 is 46405851422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241585046409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6576170 + ... + 6908630.

Almost surely, 2^{2241585046400} is an apocalyptic number.

2241585046400 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 2241585046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295652585940).

2241585046400 is an abundant number, since it is smaller than the sum of its proper divisors (4349720125480).

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

2241585046400 is a wasteful number, since it uses less digits than its factorization.

2241585046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332542 (or 332518 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 41.

The spelling of 2241585046400 in words is "two trillion, two hundred forty-one billion, five hundred eighty-five million, forty-six thousand, four hundred".