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2404002040 = 235118365827
BaseRepresentation
bin1000111101001010…
…0010100011111000
320012112112221211121
42033102202203320
514410411031130
61034314035024
7113400452206
oct21722424370
96175487747
102404002040
111023aa6350
12571118a74
132c408a41b
1418b3c2076
15e10b6d7a
hex8f4a28f8

2404002040 has 64 divisors (see below), whose sum is σ = 5971916160. Its totient is φ = 863637120.

The previous prime is 2404001987. The next prime is 2404002047. The reversal of 2404002040 is 402004042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404002047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607 + ... + 69433.

It is an arithmetic number, because the mean of its divisors is an integer number (93311190).

Almost surely, 22404002040 is an apocalyptic number.

2404002040 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 2404002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985958080).

2404002040 is an abundant number, since it is smaller than the sum of its proper divisors (3567914120).

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

2404002040 is a wasteful number, since it uses less digits than its factorization.

2404002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65932 (or 65928 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2404002040 is about 49030.6234918546. The cubic root of 2404002040 is about 1339.6096806296.

Adding to 2404002040 its reverse (402004042), we get a palindrome (2806006082).

The spelling of 2404002040 in words is "two billion, four hundred four million, two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 4565 7304 9130 18260 36520 65827 131654 263308 329135 526616 658270 724097 1316540 1448194 2633080 2896388 3620485 5463641 5792776 7240970 10927282 14481940 21854564 27318205 28963880 43709128 54636410 60100051 109272820 120200102 218545640 240400204 300500255 480800408 601000510 1202001020 2404002040