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2442042440 = 235292105209
BaseRepresentation
bin1001000110001110…
…1001110001001000
320022012010121110022
42101203221301020
520000130324230
61042153240012
7114342006155
oct22143516110
96265117408
102442042440
1110435186a2
12581a03008
132cbc19036
1419248522c
15e45cd1e5
hex918e9c48

2442042440 has 32 divisors (see below), whose sum is σ = 5684067000. Its totient is φ = 943133184.

The previous prime is 2442042437. The next prime is 2442042443. The reversal of 2442042440 is 442402442.

It is an interprime number because it is at equal distance from previous prime (2442042437) and next prime (2442042443).

It can be written as a sum of positive squares in 4 ways, for example, as 1525527364 + 916515076 = 39058^2 + 30274^2 .

It is a super-2 number, since 2×24420424402 = 11927142557522307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442042443) 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 7 ways as a sum of consecutive naturals, for example, 1051445 + ... + 1053764.

Almost surely, 22442042440 is an apocalyptic number.

2442042440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442042440 is an abundant number, since it is smaller than the sum of its proper divisors (3242024560).

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

2442042440 is a wasteful number, since it uses less digits than its factorization.

2442042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105249 (or 2105245 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2442042440 is about 49417.0258109490. The cubic root of 2442042440 is about 1346.6386315221.

Adding to 2442042440 its reverse (442402442), we get a palindrome (2884444882).

The spelling of 2442042440 in words is "two billion, four hundred forty-two million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2105209 4210418 8420836 10526045 16841672 21052090 42104180 61051061 84208360 122102122 244204244 305255305 488408488 610510610 1221021220 2442042440