2283102720 has 640 divisors, whose sum is σ = 9015494400. Its totient is φ = 544997376.

The previous prime is 2283102683. The next prime is 2283102721. The reversal of 2283102720 is 272013822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2283102721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34076127 + ... + 34076193.

It is an arithmetic number, because the mean of its divisors is an integer number (14086710).

Almost surely, 2^2283102720 is an apocalyptic number.

2283102720 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 2283102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507747200).

2283102720 is an abundant number, since it is smaller than the sum of its proper divisors (6732391680).

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

2283102720 is a wasteful number, since it uses less digits than its factorization.

2283102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2283102720 is about 47781.8241594019. The cubic root of 2283102720 is about 1316.7656351038.

It can be divided in two parts, 2283102 and 720, that added together give a palindrome (2283822).

The spelling of 2283102720 in words is "two billion, two hundred eighty-three million, one hundred two thousand, seven hundred twenty".