2240581301280 has 768 divisors, whose sum is σ = 9087815761920. Its totient is φ = 505004544000.

The previous prime is 2240581301279. The next prime is 2240581301303. The reversal of 2240581301280 is 821031850422.

It is a happy number.

2240581301280 is a `hidden beast` number, since 2 + 2 + 40 + 581 + 30 + 1 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 827697687 + ... + 827700393.

It is an arithmetic number, because the mean of its divisors is an integer number (11833093440).

Almost surely, 2^{2240581301280} is an apocalyptic number.

2240581301280 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 2240581301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543907880960).

2240581301280 is an abundant number, since it is smaller than the sum of its proper divisors (6847234460640).

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

2240581301280 is a wasteful number, since it uses less digits than its factorization.

2240581301280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2240581301280 in words is "two trillion, two hundred forty billion, five hundred eighty-one million, three hundred one thousand, two hundred eighty".