2445101568 has 600 divisors, whose sum is σ = 9387125748. Its totient is φ = 606928896.

The previous prime is 2445101567. The next prime is 2445101573. The reversal of 2445101568 is 8651015442.

It is a happy number.

2445101568 is a `hidden beast` number, since 2 + 44 + 51 + 0 + 1 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2439569664 + 5531904 = 49392^2 + 2352^2 .

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 (2445101567) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 143829496 + ... + 143829512.

Almost surely, 2^2445101568 is an apocalyptic number.

2445101568 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 2445101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693562874).

2445101568 is an abundant number, since it is smaller than the sum of its proper divisors (6942024180).

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

2445101568 is an equidigital number, since it uses as much as digits as its factorization.

2445101568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2445101568 is about 49447.9682899106. The cubic root of 2445101568 is about 1347.2007048779.

The spelling of 2445101568 in words is "two billion, four hundred forty-five million, one hundred one thousand, five hundred sixty-eight".