2262463728 has 80 divisors (see below), whose sum is σ = 6697476096. Its totient is φ = 644693760.

The previous prime is 2262463727. The next prime is 2262463757. The reversal of 2262463728 is 8273642622.

It is a happy number.

2262463728 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2262463728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262463727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119898 + ... + 137478.

Almost surely, 2^2262463728 is an apocalyptic number.

2262463728 is a gapful number since it is divisible by the number (28) 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 2262463728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348738048).

2262463728 is an abundant number, since it is smaller than the sum of its proper divisors (4435012368).

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

2262463728 is a wasteful number, since it uses less digits than its factorization.

2262463728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17982 (or 17976 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 2262463728 is about 47565.3626917739. The cubic root of 2262463728 is about 1312.7858140732.

The spelling of 2262463728 in words is "two billion, two hundred sixty-two million, four hundred sixty-three thousand, seven hundred twenty-eight".