2445334056 has 256 divisors, whose sum is σ = 8004096000. Its totient is φ = 683907840.

The previous prime is 2445333983. The next prime is 2445334057. The reversal of 2445334056 is 6504335442.

2445334056 is a `hidden beast` number, since 244 + 5 + 3 + 3 + 405 + 6 = 666.

It is a super-3 number, since 3×2445334056³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 2445334056.

It is not an unprimeable number, because it can be changed into a prime (2445334057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584021 + ... + 1585563.

It is an arithmetic number, because the mean of its divisors is an integer number (31266000).

Almost surely, 2^2445334056 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 2445334056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002048000).

2445334056 is an abundant number, since it is smaller than the sum of its proper divisors (5558761944).

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

2445334056 is a wasteful number, since it uses less digits than its factorization.

2445334056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2445334056 is about 49450.3190687381. The cubic root of 2445334056 is about 1347.2434022278.

Adding to 2445334056 its reverse (6504335442), we get a palindrome (8949669498).

The spelling of 2445334056 in words is "two billion, four hundred forty-five million, three hundred thirty-four thousand, fifty-six".