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2400240002020 = 225792918454867
BaseRepresentation
bin100010111011011001011…
…100111110001111100100
322111110102212000120211121
4202323121130332033210
5303311142420031040
65034353253143324
7335261120250310
oct42733134761744
98443385016747
102400240002020
11845a329a8263
1232922362ab44
13145459824433
148425a888b40
15426809d2c4a
hex22ed973e3e4

2400240002020 has 48 divisors (see below), whose sum is σ = 5766777152640. Its totient is φ = 822053551104.

The previous prime is 2400240001969. The next prime is 2400240002029. The reversal of 2400240002020 is 202000420042.

It is a super-2 number, since 2×24002400020202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400240001985 and 2400240002003.

It is not an unprimeable number, because it can be changed into a prime (2400240002029) 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, 9097374 + ... + 9357493.

It is an arithmetic number, because the mean of its divisors is an integer number (120141190680).

Almost surely, 22400240002020 is an apocalyptic number.

2400240002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400240002020 is an abundant number, since it is smaller than the sum of its proper divisors (3366537150620).

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

2400240002020 is a wasteful number, since it uses less digits than its factorization.

2400240002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455812 (or 18455810 counting only the distinct ones).

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

Adding to 2400240002020 its reverse (202000420042), we get a palindrome (2602240422062).

The spelling of 2400240002020 in words is "two trillion, four hundred billion, two hundred forty million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 929 1858 3716 4645 6503 9290 13006 18580 26012 32515 65030 130060 18454867 36909734 73819468 92274335 129184069 184548670 258368138 369097340 516736276 645920345 1291840690 2583681380 17144571443 34289142886 68578285772 85722857215 120012000101 171445714430 240024000202 342891428860 480048000404 600060000505 1200120001010 2400240002020