2405012000 has 96 divisors (see below), whose sum is σ = 5968623024. Its totient is φ = 952320000.

The previous prime is 2405011991. The next prime is 2405012011. The reversal of 2405012000 is 2105042.

It can be written as a sum of positive squares in 8 ways, for example, as 37994896 + 2367017104 = 6164^2 + 48652^2 .

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 15 ways as a sum of consecutive naturals, for example, 401024 + ... + 406976.

Almost surely, 2^2405012000 is an apocalyptic number.

2405012000 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 2405012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984311512).

2405012000 is an abundant number, since it is smaller than the sum of its proper divisors (3563611024).

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

2405012000 is a wasteful number, since it uses less digits than its factorization.

2405012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2405012000 is about 49040.9216879128. The cubic root of 2405012000 is about 1339.7972515702.

Adding to 2405012000 its reverse (2105042), we get a palindrome (2407117042).

The spelling of 2405012000 in words is "two billion, four hundred five million, twelve thousand".