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2542354340 = 225612083897
BaseRepresentation
bin1001011110001001…
…0011111110100100
320120011212222111212
42113202103332210
520201320314330
61100135250552
7120000440531
oct22742237644
96504788455
102542354340
111095102499
125ab519a58
1331693b7a6
141a1917d88
15ed2e5295
hex97893fa4

2542354340 has 24 divisors (see below), whose sum is σ = 5426470392. Its totient is φ = 1000270080.

The previous prime is 2542354333. The next prime is 2542354351. The reversal of 2542354340 is 434532452.

It can be written as a sum of positive squares in 4 ways, for example, as 212168356 + 2330185984 = 14566^2 + 48272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542354297 and 2542354306.

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 7 ways as a sum of consecutive naturals, for example, 1040729 + ... + 1043168.

It is an arithmetic number, because the mean of its divisors is an integer number (226102933).

Almost surely, 22542354340 is an apocalyptic number.

2542354340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542354340 is an abundant number, since it is smaller than the sum of its proper divisors (2884116052).

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

2542354340 is a wasteful number, since it uses less digits than its factorization.

2542354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083967 (or 2083965 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 2542354340 is about 50421.7645466717. The cubic root of 2542354340 is about 1364.8304189854.

Adding to 2542354340 its reverse (434532452), we get a palindrome (2976886792).

The spelling of 2542354340 in words is "two billion, five hundred forty-two million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2083897 4167794 8335588 10419485 20838970 41677940 127117717 254235434 508470868 635588585 1271177170 2542354340