2405333152 has 48 divisors (see below), whose sum is σ = 4899750912. Its totient is φ = 1161135360.

The previous prime is 2405333149. The next prime is 2405333159. The reversal of 2405333152 is 2513335042.

2405333152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2405333152² = 11571255144220510208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2405333152.

It is not an unprimeable number, because it can be changed into a prime (2405333159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456678 + ... + 461914.

It is an arithmetic number, because the mean of its divisors is an integer number (102078144).

Almost surely, 2^2405333152 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 2405333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449875456).

2405333152 is an abundant number, since it is smaller than the sum of its proper divisors (2494417760).

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

2405333152 is a wasteful number, since it uses less digits than its factorization.

2405333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2405333152 is about 49044.1959053260. The cubic root of 2405333152 is about 1339.8568852874.

Adding to 2405333152 its reverse (2513335042), we get a palindrome (4918668194).

The spelling of 2405333152 in words is "two billion, four hundred five million, three hundred thirty-three thousand, one hundred fifty-two".