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2040411440 = 245193132151
BaseRepresentation
bin111100110011110…
…0011010100110000
312021012101122022002
41321213203110300
513134321131230
6534245033132
7101364132254
oct17147432460
95235348262
102040411440
11957839351
1248b3b57a8
13266956262
14154db8264
15be1e6545
hex799e3530

2040411440 has 40 divisors (see below), whose sum is σ = 4768572768. Its totient is φ = 811929600.

The previous prime is 2040411431. The next prime is 2040411449. The reversal of 2040411440 is 441140402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2040411431) and next prime (2040411449).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2040411449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50636 + ... + 81515.

Almost surely, 22040411440 is an apocalyptic number.

2040411440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040411440 is an abundant number, since it is smaller than the sum of its proper divisors (2728161328).

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

2040411440 is a wasteful number, since it uses less digits than its factorization.

2040411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132357 (or 132351 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2040411440 is about 45170.9136502684. The cubic root of 2040411440 is about 1268.3503992359.

Adding to 2040411440 its reverse (441140402), we get a palindrome (2481551842).

The spelling of 2040411440 in words is "two billion, forty million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 132151 264302 528604 660755 1057208 1321510 2114416 2643020 5286040 10572080 25505143 51010286 102020572 127525715 204041144 255051430 408082288 510102860 1020205720 2040411440