2445355440 has 320 divisors, whose sum is σ = 9288691200. Its totient is φ = 586368000.

The previous prime is 2445355421. The next prime is 2445355441. The reversal of 2445355440 is 445535442.

2445355440 is a `hidden beast` number, since 24 + 45 + 3 + 554 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2445355395 and 2445355404.

It is not an unprimeable number, because it can be changed into a prime (2445355441) 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, 2399251 + ... + 2400269.

It is an arithmetic number, because the mean of its divisors is an integer number (29027160).

Almost surely, 2^2445355440 is an apocalyptic number.

2445355440 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 2445355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644345600).

2445355440 is an abundant number, since it is smaller than the sum of its proper divisors (6843335760).

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

2445355440 is a wasteful number, since it uses less digits than its factorization.

2445355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 2445355440 is about 49450.5352852727. The cubic root of 2445355440 is about 1347.2473293489.

The spelling of 2445355440 in words is "two billion, four hundred forty-five million, three hundred fifty-five thousand, four hundred forty".