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2540390240 = 25517933967
BaseRepresentation
bin1001011101101011…
…0100011101100000
320120001012012021102
42113122310131200
520200314441430
61100025213532
7116644650353
oct22732643540
96501165242
102540390240
111093a90873
125aa9312a8
133164017bb
141a156629a
15ed058345
hex976b4760

2540390240 has 48 divisors (see below), whose sum is σ = 6354718272. Its totient is φ = 956381184.

The previous prime is 2540390221. The next prime is 2540390261. The reversal of 2540390240 is 420930452.

2540390240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464264 + ... + 469703.

It is an arithmetic number, because the mean of its divisors is an integer number (132389964).

Almost surely, 22540390240 is an apocalyptic number.

2540390240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540390240 is an abundant number, since it is smaller than the sum of its proper divisors (3814328032).

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

2540390240 is a wasteful number, since it uses less digits than its factorization.

2540390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933999 (or 933991 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2540390240 is about 50402.2840752282. The cubic root of 2540390240 is about 1364.4788611141.

The spelling of 2540390240 in words is "two billion, five hundred forty million, three hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 933967 1867934 3735868 4669835 7471736 9339670 14943472 15877439 18679340 29886944 31754878 37358680 63509756 74717360 79387195 127019512 149434720 158774390 254039024 317548780 508078048 635097560 1270195120 2540390240