2220265887840 has 3072 divisors, whose sum is σ = 11188083916800. Its totient is φ = 395941478400.

The previous prime is 2220265887793. The next prime is 2220265887841. The reversal of 2220265887840 is 487885620222.

2220265887840 is a `hidden beast` number, since 2 + 220 + 265 + 8 + 87 + 84 + 0 = 666.

It is a super-2 number, since 2×2220265887840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220265887841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5011886659 + ... + 5011887101.

It is an arithmetic number, because the mean of its divisors is an integer number (3641954400).

Almost surely, 2^{2220265887840} is an apocalyptic number.

2220265887840 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 2220265887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594041958400).

2220265887840 is an abundant number, since it is smaller than the sum of its proper divisors (8967818028960).

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

2220265887840 is a wasteful number, since it uses less digits than its factorization.

2220265887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2220265887840 in words is "two trillion, two hundred twenty billion, two hundred sixty-five million, eight hundred eighty-seven thousand, eight hundred forty".