2213515601220 has 1152 divisors, whose sum is σ = 8372947968000. Its totient is φ = 431380131840.

The previous prime is 2213515601203. The next prime is 2213515601239. The reversal of 2213515601220 is 221065153122.

2213515601220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6031377477 + ... + 6031377843.

It is an arithmetic number, because the mean of its divisors is an integer number (7268184000).

Almost surely, 2^{2213515601220} is an apocalyptic number.

2213515601220 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 2213515601220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186473984000).

2213515601220 is an abundant number, since it is smaller than the sum of its proper divisors (6159432366780).

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

2213515601220 is a wasteful number, since it uses less digits than its factorization.

2213515601220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 2213515601220 in words is "two trillion, two hundred thirteen billion, five hundred fifteen million, six hundred one thousand, two hundred twenty".