2412480000 has 400 divisors, whose sum is σ = 9204053760. Its totient is φ = 549888000.

The previous prime is 2412479977. The next prime is 2412480029. The reversal of 2412480000 is 842142.

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

It is a super-3 number, since 3×2412480000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719821 + ... + 6720179.

Almost surely, 2^2412480000 is an apocalyptic number.

2412480000 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 2412480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602026880).

2412480000 is an abundant number, since it is smaller than the sum of its proper divisors (6791573760).

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

2412480000 is an frugal number, since it uses more digits than its factorization.

2412480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2412480000 is about 49117.0031659099. The cubic root of 2412480000 is about 1341.1825900903.

The spelling of 2412480000 in words is "two billion, four hundred twelve million, four hundred eighty thousand".