2480429952 has 640 divisors, whose sum is σ = 9952588800. Its totient is φ = 592220160.

The previous prime is 2480429947. The next prime is 2480429977. The reversal of 2480429952 is 2599240842.

It is a junction number, because it is equal to n+sod(n) for n = 2480429898 and 2480429907.

It is a congruent number.

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, 10378249 + ... + 10378487.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^2480429952 is an apocalyptic number.

2480429952 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 2480429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976294400).

2480429952 is an abundant number, since it is smaller than the sum of its proper divisors (7472158848).

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

2480429952 is a wasteful number, since it uses less digits than its factorization.

2480429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

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

The square root of 2480429952 is about 49803.9150268330. The cubic root of 2480429952 is about 1353.6581082645.

It can be divided in two parts, 24804 and 29952, that added together give a square (54756 = 234²).

The spelling of 2480429952 in words is "two billion, four hundred eighty million, four hundred twenty-nine thousand, nine hundred fifty-two".