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2540440791 = 32740324457
BaseRepresentation
bin1001011101101100…
…0000110011010111
320120001021202121200
42113123000303113
520200323101131
61100030243543
7116645250630
oct22733006327
96501252550
102540440791
111094015849
125aa9565b3
1331641b805
141a157a887
15ed0682e6
hex976c0cd7

2540440791 has 12 divisors (see below), whose sum is σ = 4193743632. Its totient is φ = 1451680416.

The previous prime is 2540440769. The next prime is 2540440813. The reversal of 2540440791 is 1970440452.

It is a happy number.

2540440791 is a `hidden beast` number, since 2 + 540 + 4 + 40 + 79 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2540440769) and next prime (2540440813).

It is not a de Polignac number, because 2540440791 - 213 = 2540432599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540440711) by changing a digit.

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, 20162166 + ... + 20162291.

It is an arithmetic number, because the mean of its divisors is an integer number (349478636).

Almost surely, 22540440791 is an apocalyptic number.

2540440791 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2540440791 is a deficient number, since it is larger than the sum of its proper divisors (1653302841).

2540440791 is a wasteful number, since it uses less digits than its factorization.

2540440791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40324470 (or 40324467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2540440791 is about 50402.7855480230. The cubic root of 2540440791 is about 1364.4879116020.

The spelling of 2540440791 in words is "two billion, five hundred forty million, four hundred forty thousand, seven hundred ninety-one".

Divisors: 1 3 7 9 21 63 40324457 120973371 282271199 362920113 846813597 2540440791