29002000 has 80 divisors (see below), whose sum is σ = 74338992. Its totient is φ = 10905600.

The previous prime is 29001997. The next prime is 29002021. The reversal of 29002000 is 20092.

It can be written as a sum of positive squares in 8 ways, for example, as 12873744 + 16128256 = 3588^2 + 4016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×29002000² = 1682232008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33574 + ... + 34426.

Almost surely, 2^29002000 is an apocalyptic number.

29002000 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 29002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169496).

29002000 is an abundant number, since it is smaller than the sum of its proper divisors (45336992).

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

29002000 is a wasteful number, since it uses less digits than its factorization.

29002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 29002000 is about 5385.3504992711. The cubic root of 29002000 is about 307.2387452035.

Adding to 29002000 its reverse (20092), we get a palindrome (29022092).

It can be divided in two parts, 2900 and 2000, that added together give a square (4900 = 70²).

The spelling of 29002000 in words is "twenty-nine million, two thousand".