2412038880 has 288 divisors, whose sum is σ = 8954172864. Its totient is φ = 588791808.

The previous prime is 2412038857. The next prime is 2412038887. The reversal of 2412038880 is 888302142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2412038887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904429 + ... + 907091.

It is an arithmetic number, because the mean of its divisors is an integer number (31090878).

Almost surely, 2^2412038880 is an apocalyptic number.

2412038880 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 2412038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477086432).

2412038880 is an abundant number, since it is smaller than the sum of its proper divisors (6542133984).

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

2412038880 is a wasteful number, since it uses less digits than its factorization.

2412038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2412038880 is about 49112.5124586393. The cubic root of 2412038880 is about 1341.1008403933.

The spelling of 2412038880 in words is "two billion, four hundred twelve million, thirty-eight thousand, eight hundred eighty".