2413800480 has 384 divisors, whose sum is σ = 9498843648. Its totient is φ = 501645312.

The previous prime is 2413800463. The next prime is 2413800497. The reversal of 2413800480 is 840083142.

It is an interprime number because it is at equal distance from previous prime (2413800463) and next prime (2413800497).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188262 + ... + 3189018.

It is an arithmetic number, because the mean of its divisors is an integer number (24736572).

Almost surely, 2^2413800480 is an apocalyptic number.

2413800480 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 2413800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749421824).

2413800480 is an abundant number, since it is smaller than the sum of its proper divisors (7085043168).

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

2413800480 is a wasteful number, since it uses less digits than its factorization.

2413800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2413800480 is about 49130.4435151974. The cubic root of 2413800480 is about 1341.4272459027.

The spelling of 2413800480 in words is "two billion, four hundred thirteen million, eight hundred thousand, four hundred eighty".