29252003040 has 480 divisors, whose sum is σ = 115029240480. Its totient is φ = 6951038976.

The previous prime is 29252003029. The next prime is 29252003047. The reversal of 29252003040 is 4030025292.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29252002995 and 29252003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29252003047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4882927 + ... + 4888913.

It is an arithmetic number, because the mean of its divisors is an integer number (239644251).

Almost surely, 2^29252003040 is an apocalyptic number.

29252003040 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 29252003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57514620240).

29252003040 is an abundant number, since it is smaller than the sum of its proper divisors (85777237440).

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

29252003040 is a wasteful number, since it uses less digits than its factorization.

29252003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 29252003040 in words is "twenty-nine billion, two hundred fifty-two million, three thousand, forty".