2445649920 has 576 divisors, whose sum is σ = 10302888960. Its totient is φ = 523763712.

The previous prime is 2445649889. The next prime is 2445649951. The reversal of 2445649920 is 299465442.

It is an interprime number because it is at equal distance from previous prime (2445649889) and next prime (2445649951).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966929 + ... + 10967151.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^2445649920 is an apocalyptic number.

2445649920 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 2445649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

2445649920 is an abundant number, since it is smaller than the sum of its proper divisors (7857239040).

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

2445649920 is a wasteful number, since it uses less digits than its factorization.

2445649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2445649920 is about 49453.5127164896. The cubic root of 2445649920 is about 1347.3014075771.

The spelling of 2445649920 in words is "two billion, four hundred forty-five million, six hundred forty-nine thousand, nine hundred twenty".