2452016448 has 350 divisors, whose sum is σ = 8522507466. Its totient is φ = 697019904.

The previous prime is 2452016431. The next prime is 2452016449. The reversal of 2452016448 is 8446102542.

2452016448 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 0 + 1 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2439569664 + 12446784 = 49392^2 + 3528^2 .

It is a super-3 number, since 3×2452016448³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (2452016449) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12446686 + ... + 12446882.

Almost surely, 2^2452016448 is an apocalyptic number.

2452016448 is a gapful number since it is divisible by the number (28) 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 2452016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261253733).

2452016448 is an abundant number, since it is smaller than the sum of its proper divisors (6070491018).

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

2452016448 is an frugal number, since it uses more digits than its factorization.

2452016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2452016448 is about 49517.8396943970. The cubic root of 2452016448 is about 1348.4694951408.

The spelling of 2452016448 in words is "two billion, four hundred fifty-two million, sixteen thousand, four hundred forty-eight".