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2419970640 = 243510083211
BaseRepresentation
bin1001000000111101…
…1101001001010000
320020122121020122020
42100033131021100
514424003030030
61040044211440
7113653260663
oct22017351120
96218536566
102419970640
11103201283a
12576539b80
132c748b8b9
1418d57b6da
15e26bd510
hex903dd250

2419970640 has 40 divisors (see below), whose sum is σ = 7501909728. Its totient is φ = 645325440.

The previous prime is 2419970633. The next prime is 2419970669. The reversal of 2419970640 is 460799142.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2419970592 and 2419970601.

It is a congruent number.

It is an unprimeable number.

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, 5041366 + ... + 5041845.

Almost surely, 22419970640 is an apocalyptic number.

2419970640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2419970640 is an abundant number, since it is smaller than the sum of its proper divisors (5081939088).

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

2419970640 is a wasteful number, since it uses less digits than its factorization.

2419970640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083227 (or 10083221 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2419970640 is about 49193.1970906547. The cubic root of 2419970640 is about 1342.5692594198.

The spelling of 2419970640 in words is "two billion, four hundred nineteen million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10083211 20166422 30249633 40332844 50416055 60499266 80665688 100832110 120998532 151248165 161331376 201664220 241997064 302496330 403328440 483994128 604992660 806656880 1209985320 2419970640