2220379520 has 256 divisors, whose sum is σ = 6186585600. Its totient is φ = 755859456.

The previous prime is 2220379517. The next prime is 2220379523. The reversal of 2220379520 is 259730222.

It is an interprime number because it is at equal distance from previous prime (2220379517) and next prime (2220379523).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220379523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4754327 + ... + 4754793.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^2220379520 is an apocalyptic number.

2220379520 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 2220379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093292800).

2220379520 is an abundant number, since it is smaller than the sum of its proper divisors (3966206080).

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

2220379520 is a wasteful number, since it uses less digits than its factorization.

2220379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 2220379520 is about 47120.9032171498. The cubic root of 2220379520 is about 1304.5950838801.

The spelling of 2220379520 in words is "two billion, two hundred twenty million, three hundred seventy-nine thousand, five hundred twenty".