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2540052180 = 2232514111401
BaseRepresentation
bin1001011101100110…
…0001111011010100
320120000120000112200
42113121201323110
520200223132210
61100014044500
7116642041641
oct22731417324
96500500480
102540052180
11109387a886
125aa7a9730
13316313973
141a14b8dc8
15ecedd0c0
hex97661ed4

2540052180 has 36 divisors (see below), whose sum is σ = 7704825492. Its totient is φ = 677347200.

The previous prime is 2540052169. The next prime is 2540052191. The reversal of 2540052180 is 812500452.

It is a happy number.

2540052180 is a `hidden beast` number, since 25 + 40 + 0 + 521 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2540052169) and next prime (2540052191).

It can be written as a sum of positive squares in 2 ways, for example, as 754820676 + 1785231504 = 27474^2 + 42252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 7055521 + ... + 7055880.

Almost surely, 22540052180 is an apocalyptic number.

2540052180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540052180 is an abundant number, since it is smaller than the sum of its proper divisors (5164773312).

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

2540052180 is a wasteful number, since it uses less digits than its factorization.

2540052180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111416 (or 14111411 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2540052180 is about 50398.9303457921. The cubic root of 2540052180 is about 1364.4183328562.

The spelling of 2540052180 in words is "two billion, five hundred forty million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14111401 28222802 42334203 56445604 70557005 84668406 127002609 141114010 169336812 211671015 254005218 282228020 423342030 508010436 635013045 846684060 1270026090 2540052180