2864629152 has 480 divisors, whose sum is σ = 10865885184. Its totient is φ = 718502400.

The previous prime is 2864629147. The next prime is 2864629181. The reversal of 2864629152 is 2519264682.

2864629152 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 629 + 15 + 2 = 666.

2864629152 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 2×2864629152² = 16412200356976478208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2864629098 and 2864629107.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6186873 + ... + 6187335.

Almost surely, 2^2864629152 is an apocalyptic number.

2864629152 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 2864629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432942592).

2864629152 is an abundant number, since it is smaller than the sum of its proper divisors (8001256032).

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

2864629152 is a wasteful number, since it uses less digits than its factorization.

2864629152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2864629152 is about 53522.2304467966. The cubic root of 2864629152 is about 1420.2216727266.

The spelling of 2864629152 in words is "two billion, eight hundred sixty-four million, six hundred twenty-nine thousand, one hundred fifty-two".