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2540431240 = 235251401631
BaseRepresentation
bin1001011101101011…
…1110011110001000
320120001021021111221
42113122332132020
520200322244430
61100030131424
7116645211034
oct22732763610
96501237457
102540431240
111094009656
125aa950b74
13316417369
141a15771c4
15ed06557a
hex976be788

2540431240 has 64 divisors (see below), whose sum is σ = 5762171520. Its totient is φ = 1008000000.

The previous prime is 2540431237. The next prime is 2540431247. The reversal of 2540431240 is 421340452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2540431247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025725 + ... + 4026355.

It is an arithmetic number, because the mean of its divisors is an integer number (90033930).

Almost surely, 22540431240 is an apocalyptic number.

2540431240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540431240 is an abundant number, since it is smaller than the sum of its proper divisors (3221740280).

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

2540431240 is a wasteful number, since it uses less digits than its factorization.

2540431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2540431240 is about 50402.6908011864. The cubic root of 2540431240 is about 1364.4862016310.

Adding to 2540431240 its reverse (421340452), we get a palindrome (2961771692).

It can be divided in two parts, 25404 and 31240, that added together give a square (56644 = 2382).

The spelling of 2540431240 in words is "two billion, five hundred forty million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 251 401 502 631 802 1004 1255 1262 1604 2005 2008 2510 2524 3155 3208 4010 5020 5048 6310 8020 10040 12620 16040 25240 100651 158381 201302 253031 316762 402604 503255 506062 633524 791905 805208 1006510 1012124 1265155 1267048 1583810 2013020 2024248 2530310 3167620 4026040 5060620 6335240 10121240 63510781 127021562 254043124 317553905 508086248 635107810 1270215620 2540431240