2338629504 has 128 divisors (see below), whose sum is σ = 6438852000. Its totient is φ = 751534080.

The previous prime is 2338629487. The next prime is 2338629509. The reversal of 2338629504 is 4059268332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338629509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400382 + ... + 1402050.

Almost surely, 2^2338629504 is an apocalyptic number.

2338629504 is a gapful number since it is divisible by the number (24) 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 2338629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219426000).

2338629504 is an abundant number, since it is smaller than the sum of its proper divisors (4100222496).

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

2338629504 is a wasteful number, since it uses less digits than its factorization.

2338629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2338629504 is about 48359.3786560580. The cubic root of 2338629504 is about 1327.3551570044.

The spelling of 2338629504 in words is "two billion, three hundred thirty-eight million, six hundred twenty-nine thousand, five hundred four".