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2402040040 = 2351922314173
BaseRepresentation
bin1000111100101100…
…0011100011101000
320012101212021110221
42033023003203220
514404410240130
61034204015424
7113345001121
oct21713034350
96171767427
102402040040
111022986264
12570531574
132c385138a
1418b031048
15e0d2a87a
hex8f2c38e8

2402040040 has 64 divisors (see below), whose sum is σ = 5714956800. Its totient is φ = 906100992.

The previous prime is 2402040001. The next prime is 2402040049. The reversal of 2402040040 is 400402042.

It is a junction number, because it is equal to n+sod(n) for n = 2402039996 and 2402040023.

It is not an unprimeable number, because it can be changed into a prime (2402040049) 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, 162394 + ... + 176566.

It is an arithmetic number, because the mean of its divisors is an integer number (89296200).

Almost surely, 22402040040 is an apocalyptic number.

2402040040 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 2402040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857478400).

2402040040 is an abundant number, since it is smaller than the sum of its proper divisors (3312916760).

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

2402040040 is a wasteful number, since it uses less digits than its factorization.

2402040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 14422 counting only the distinct ones).

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

The square root of 2402040040 is about 49010.6115040406. The cubic root of 2402040040 is about 1339.2451455062.

Adding to 2402040040 its reverse (400402042), we get a palindrome (2802442082).

The spelling of 2402040040 in words is "two billion, four hundred two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 223 380 446 760 892 1115 1784 2230 4237 4460 8474 8920 14173 16948 21185 28346 33896 42370 56692 70865 84740 113384 141730 169480 269287 283460 538574 566920 1077148 1346435 2154296 2692870 3160579 5385740 6321158 10771480 12642316 15802895 25284632 31605790 60051001 63211580 120102002 126423160 240204004 300255005 480408008 600510010 1201020020 2402040040