2268779520 has 176 divisors, whose sum is σ = 8293592448. Its totient is φ = 518553600.

The previous prime is 2268779503. The next prime is 2268779537. The reversal of 2268779520 is 259778622.

It is an interprime number because it is at equal distance from previous prime (2268779503) and next prime (2268779537).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2268779520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96970 + ... + 118070.

Almost surely, 2^2268779520 is an apocalyptic number.

2268779520 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 2268779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146796224).

2268779520 is an abundant number, since it is smaller than the sum of its proper divisors (6024812928).

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

2268779520 is a wasteful number, since it uses less digits than its factorization.

2268779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21136 (or 21118 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2268779520 is about 47631.7070867715. The cubic root of 2268779520 is about 1314.0062504191.

The spelling of 2268779520 in words is "two billion, two hundred sixty-eight million, seven hundred seventy-nine thousand, five hundred twenty".