2406686880 has 384 divisors, whose sum is σ = 8748311040. Its totient is φ = 551485440.

The previous prime is 2406686879. The next prime is 2406686881. The reversal of 2406686880 is 886866042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2406686879) and next prime (2406686881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2406686881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5884116 + ... + 5884524.

It is an arithmetic number, because the mean of its divisors is an integer number (22782060).

Almost surely, 2^2406686880 is an apocalyptic number.

2406686880 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 2406686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374155520).

2406686880 is an abundant number, since it is smaller than the sum of its proper divisors (6341624160).

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

2406686880 is a wasteful number, since it uses less digits than its factorization.

2406686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2406686880 is about 49057.9950670632. The cubic root of 2406686880 is about 1340.1081965060.

The spelling of 2406686880 in words is "two billion, four hundred six million, six hundred eighty-six thousand, eight hundred eighty".