2403406080 has 216 divisors, whose sum is σ = 8624633472. Its totient is φ = 640825344.

The previous prime is 2403406079. The next prime is 2403406081. The reversal of 2403406080 is 806043042.

2403406080 is a `hidden beast` number, since 24 + 0 + 34 + 0 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2403406079) and next prime (2403406081).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2403406081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307177 + ... + 314903.

Almost surely, 2^2403406080 is an apocalyptic number.

2403406080 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 2403406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312316736).

2403406080 is an abundant number, since it is smaller than the sum of its proper divisors (6221227392).

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

2403406080 is an frugal number, since it uses more digits than its factorization.

2403406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2403406080 is about 49024.5456888690. The cubic root of 2403406080 is about 1339.4989736013.

The spelling of 2403406080 in words is "two billion, four hundred three million, four hundred six thousand, eighty".