2809387152 has 480 divisors, whose sum is σ = 9948696576. Its totient is φ = 755827200.

The previous prime is 2809387127. The next prime is 2809387157. The reversal of 2809387152 is 2517839082.

It is a happy number.

2809387152 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 super-2 number, since 2×2809387152² = 15785312339645342208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2809387098 and 2809387107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809387157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17235423 + ... + 17235585.

Almost surely, 2^2809387152 is an apocalyptic number.

2809387152 is a gapful number since it is divisible by the number (22) 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 2809387152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974348288).

2809387152 is an abundant number, since it is smaller than the sum of its proper divisors (7139309424).

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

2809387152 is a wasteful number, since it uses less digits than its factorization.

2809387152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2809387152 is about 53003.6522515194. The cubic root of 2809387152 is about 1411.0330862561.

The spelling of 2809387152 in words is "two billion, eight hundred nine million, three hundred eighty-seven thousand, one hundred fifty-two".