2413004000 has 192 divisors, whose sum is σ = 6525634752. Its totient is φ = 869632000.

The previous prime is 2413003997. The next prime is 2413004003. The reversal of 2413004000 is 4003142.

It is an interprime number because it is at equal distance from previous prime (2413003997) and next prime (2413004003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413004003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7611842 + ... + 7612158.

It is an arithmetic number, because the mean of its divisors is an integer number (33987681).

Almost surely, 2^2413004000 is an apocalyptic number.

2413004000 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 2413004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262817376).

2413004000 is an abundant number, since it is smaller than the sum of its proper divisors (4112630752).

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

2413004000 is a wasteful number, since it uses less digits than its factorization.

2413004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2413004000 is about 49122.3370779526. The cubic root of 2413004000 is about 1341.2796864118.

Adding to 2413004000 its reverse (4003142), we get a palindrome (2417007142).

The spelling of 2413004000 in words is "two billion, four hundred thirteen million, four thousand".