2450638080 has 432 divisors, whose sum is σ = 9401386176. Its totient is φ = 584417280.

The previous prime is 2450638067. The next prime is 2450638081. The reversal of 2450638080 is 808360542.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450638081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10517644 + ... + 10517876.

It is an arithmetic number, because the mean of its divisors is an integer number (21762468).

Almost surely, 2^2450638080 is an apocalyptic number.

2450638080 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 2450638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700693088).

2450638080 is an abundant number, since it is smaller than the sum of its proper divisors (6950748096).

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

2450638080 is a wasteful number, since it uses less digits than its factorization.

2450638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2450638080 is about 49503.9198447961. The cubic root of 2450638080 is about 1348.2167731291.

The spelling of 2450638080 in words is "two billion, four hundred fifty million, six hundred thirty-eight thousand, eighty".