2829133440 has 512 divisors, whose sum is σ = 12063744000. Its totient is φ = 612126720.

The previous prime is 2829133429. The next prime is 2829133441. The reversal of 2829133440 is 443319282.

2829133440 is a `hidden beast` number, since 2 + 82 + 9 + 133 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2829133395 and 2829133404.

It is not an unprimeable number, because it can be changed into a prime (2829133441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297625 + ... + 2298855.

It is an arithmetic number, because the mean of its divisors is an integer number (23562000).

Almost surely, 2^2829133440 is an apocalyptic number.

2829133440 is a gapful number since it is divisible by the number (20) 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 2829133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031872000).

2829133440 is an abundant number, since it is smaller than the sum of its proper divisors (9234610560).

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

2829133440 is a wasteful number, since it uses less digits than its factorization.

2829133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2829133440 is about 53189.5989832599. The cubic root of 2829133440 is about 1414.3312717845.

The spelling of 2829133440 in words is "two billion, eight hundred twenty-nine million, one hundred thirty-three thousand, four hundred forty".