2000072448 has 216 divisors, whose sum is σ = 6413949360. Its totient is φ = 594247680.

The previous prime is 2000072401. The next prime is 2000072461. The reversal of 2000072448 is 8442700002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342488 + ... + 1343976.

It is an arithmetic number, because the mean of its divisors is an integer number (29694210).

Almost surely, 2^2000072448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206974680).

2000072448 is an abundant number, since it is smaller than the sum of its proper divisors (4413876912).

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

2000072448 is a wasteful number, since it uses less digits than its factorization.

2000072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2000072448 is about 44722.1695359248. The cubic root of 2000072448 is about 1259.9362628379.

The spelling of 2000072448 in words is "two billion, seventy-two thousand, four hundred forty-eight".