2262152448 has 180 divisors, whose sum is σ = 6806356480. Its totient is φ = 747242496.

The previous prime is 2262152443. The next prime is 2262152461. The reversal of 2262152448 is 8442512622.

2262152448 is a `hidden beast` number, since 2 + 2 + 62 + 152 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262152443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2633043 + ... + 2633901.

Almost surely, 2^2262152448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403178240).

2262152448 is an abundant number, since it is smaller than the sum of its proper divisors (4544204032).

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

2262152448 is an equidigital number, since it uses as much as digits as its factorization.

2262152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 991 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2262152448 is about 47562.0904502735. The cubic root of 2262152448 is about 1312.7256049738.

The spelling of 2262152448 in words is "two billion, two hundred sixty-two million, one hundred fifty-two thousand, four hundred forty-eight".