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2540813340 = 2235133257453
BaseRepresentation
bin1001011101110001…
…1011110000011100
320120001222200122210
42113130123300130
520200422011330
61100042240420
7116651362032
oct22734336034
96501880583
102540813340
11109424a73a
125aaab6110
1331651c260
141a1636552
15ed0dd8b0
hex9771bc1c

2540813340 has 48 divisors (see below), whose sum is σ = 7661531808. Its totient is φ = 625430784.

The previous prime is 2540813339. The next prime is 2540813377. The reversal of 2540813340 is 433180452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2540813298 and 2540813307.

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 15 ways as a sum of consecutive naturals, for example, 1627947 + ... + 1629506.

It is an arithmetic number, because the mean of its divisors is an integer number (159615246).

Almost surely, 22540813340 is an apocalyptic number.

2540813340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540813340 is an abundant number, since it is smaller than the sum of its proper divisors (5120718468).

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

2540813340 is a wasteful number, since it uses less digits than its factorization.

2540813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257478 (or 3257476 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2540813340 is about 50406.4811309022. The cubic root of 2540813340 is about 1364.5546078701.

Adding to 2540813340 its reverse (433180452), we get a palindrome (2973993792).

The spelling of 2540813340 in words is "two billion, five hundred forty million, eight hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3257453 6514906 9772359 13029812 16287265 19544718 32574530 39089436 42346889 48861795 65149060 84693778 97723590 127040667 169387556 195447180 211734445 254081334 423468890 508162668 635203335 846937780 1270406670 2540813340