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2545340040 = 233257070389
BaseRepresentation
bin1001011110110110…
…1100111010001000
320120101111200010100
42113231230322020
520203101340130
61100323245400
7120035014305
oct22755547210
96511450110
102545340040
111096861711
125b0519860
13317445789
141a20940ac
15ed6d4c60
hex97b6ce88

2545340040 has 48 divisors (see below), whose sum is σ = 8272356300. Its totient is φ = 678757248.

The previous prime is 2545340027. The next prime is 2545340059. The reversal of 2545340040 is 400435452.

2545340040 is a `hidden beast` number, since 254 + 5 + 3 + 400 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2401196004 + 144144036 = 49002^2 + 12006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2545339986 and 2545340013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3534835 + ... + 3535554.

Almost surely, 22545340040 is an apocalyptic number.

2545340040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545340040 is an abundant number, since it is smaller than the sum of its proper divisors (5727016260).

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

2545340040 is a wasteful number, since it uses less digits than its factorization.

2545340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070406 (or 7070399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2545340040 is about 50451.3631133986. The cubic root of 2545340040 is about 1365.3644882616.

Adding to 2545340040 its reverse (400435452), we get a palindrome (2945775492).

The spelling of 2545340040 in words is "two billion, five hundred forty-five million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7070389 14140778 21211167 28281556 35351945 42422334 56563112 63633501 70703890 84844668 106055835 127267002 141407780 169689336 212111670 254534004 282815560 318167505 424223340 509068008 636335010 848446680 1272670020 2545340040