2445120000 has 400 divisors, whose sum is σ = 9076219680. Its totient is φ = 649728000.

The previous prime is 2445119969. The next prime is 2445120017. The reversal of 2445120000 is 215442.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2445120000² = 11957223628800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639859 + ... + 8640141.

Almost surely, 2^2445120000 is an apocalyptic number.

2445120000 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 2445120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538109840).

2445120000 is an abundant number, since it is smaller than the sum of its proper divisors (6631099680).

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

2445120000 is an frugal number, since it uses more digits than its factorization.

2445120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2445120000 is about 49448.1546672876. The cubic root of 2445120000 is about 1347.2040900871.

Adding to 2445120000 its reverse (215442), we get a palindrome (2445335442).

The spelling of 2445120000 in words is "two billion, four hundred forty-five million, one hundred twenty thousand".