2220765624 has 192 divisors, whose sum is σ = 7940125440. Its totient is φ = 542868480.

The previous prime is 2220765611. The next prime is 2220765643. The reversal of 2220765624 is 4265670222.

2220765624 is a `hidden beast` number, since 2 + 2 + 20 + 7 + 6 + 5 + 624 = 666.

It is a Cunningham number, because it is equal to 47125²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82467 + ... + 106029.

It is an arithmetic number, because the mean of its divisors is an integer number (41354820).

Almost surely, 2^2220765624 is an apocalyptic number.

2220765624 is a gapful number since it is divisible by the number (24) 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 2220765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970062720).

2220765624 is an abundant number, since it is smaller than the sum of its proper divisors (5719359816).

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

2220765624 is a wasteful number, since it uses less digits than its factorization.

2220765624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23610 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2220765624 is about 47124.9999893899. Note that the first 4 decimals coincide. The cubic root of 2220765624 is about 1304.6706986089.

The spelling of 2220765624 in words is "two billion, two hundred twenty million, seven hundred sixty-five thousand, six hundred twenty-four".