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2400420240440 = 235436911373521
BaseRepresentation
bin100010111011100100001…
…100100001110000111000
322111110220102011122110122
4202323210030201300320
5303312030040143230
65034423212232412
7335265436250615
oct42734414416070
98443812148418
102400420240440
11846015713032
12329273a6b708
13145487c7c9a1
14842767a550c
1542691736be5
hex22ee4321c38

2400420240440 has 32 divisors (see below), whose sum is σ = 5401073090160. Its totient is φ = 960145420800.

The previous prime is 2400420240437. The next prime is 2400420240511. The reversal of 2400420240440 is 440420240042.

It is a super-2 number, since 2×24004202404402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060880 + ... + 2434400.

Almost surely, 22400420240440 is an apocalyptic number.

2400420240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400420240440 is an abundant number, since it is smaller than the sum of its proper divisors (3000652849720).

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

2400420240440 is a wasteful number, since it uses less digits than its factorization.

2400420240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417223 (or 1417219 counting only the distinct ones).

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

Adding to 2400420240440 its reverse (440420240042), we get a palindrome (2840840480482).

The spelling of 2400420240440 in words is "two trillion, four hundred billion, four hundred twenty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43691 87382 174764 218455 349528 436910 873820 1373521 1747640 2747042 5494084 6867605 10988168 13735210 27470420 54940840 60010506011 120021012022 240042024044 300052530055 480084048088 600105060110 1200210120220 2400420240440