2284364759040 has 1656 divisors, whose sum is σ = 10442809082160. Its totient is φ = 456608710656.

The previous prime is 2284364759009. The next prime is 2284364759063. The reversal of 2284364759040 is 409574634822.

It is a happy number.

2284364759040 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 3 + 6 + 4 + 7 + 590 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120229724151 + ... + 120229724169.

Almost surely, 2^{2284364759040} is an apocalyptic number.

2284364759040 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 2284364759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221404541080).

2284364759040 is an abundant number, since it is smaller than the sum of its proper divisors (8158444323120).

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

2284364759040 is an frugal number, since it uses more digits than its factorization.

2284364759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2284364759040 in words is "two trillion, two hundred eighty-four billion, three hundred sixty-four million, seven hundred fifty-nine thousand, forty".