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2404000080 = 243351923083
BaseRepresentation
bin1000111101001010…
…0010000101010000
320012112112212011000
42033102202011100
514410411000310
61034314022000
7113400443406
oct21722420520
96175485130
102404000080
111023aa4929
12571117900
132c4089571
1418b3c1476
15e10b64c0
hex8f4a2150

2404000080 has 240 divisors, whose sum is σ = 8742029760. Its totient is φ = 607129344.

The previous prime is 2404000063. The next prime is 2404000111. The reversal of 2404000080 is 800004042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778219 + ... + 781301.

It is an arithmetic number, because the mean of its divisors is an integer number (36425124).

Almost surely, 22404000080 is an apocalyptic number.

2404000080 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 2404000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371014880).

2404000080 is an abundant number, since it is smaller than the sum of its proper divisors (6338029680).

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

2404000080 is a wasteful number, since it uses less digits than its factorization.

2404000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404000080 is about 49030.6035043421. The cubic root of 2404000080 is about 1339.6093165651.

The spelling of 2404000080 in words is "two billion, four hundred four million, eighty", and thus it is an aban number.