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2542202010 = 23453138521
BaseRepresentation
bin1001011110000110…
…1110110010011010
320120011121020120000
42113201232302122
520201300431020
61100132113430
7116666234445
oct22741566232
96504536500
102542202010
111095008aa7
125ab465876
133168b735a
141a18b865c
15ed2b5090
hex9786ec9a

2542202010 has 40 divisors (see below), whose sum is σ = 6835700916. Its totient is φ = 677920320.

The previous prime is 2542202009. The next prime is 2542202059. The reversal of 2542202010 is 102022452.

It can be written as a sum of positive squares in 2 ways, for example, as 2170907649 + 371294361 = 46593^2 + 19269^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 19 ways as a sum of consecutive naturals, for example, 1568451 + ... + 1570070.

Almost surely, 22542202010 is an apocalyptic number.

2542202010 is an abundant number, since it is smaller than the sum of its proper divisors (4293498906).

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

2542202010 is a wasteful number, since it uses less digits than its factorization.

2542202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138540 (or 3138531 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2542202010 is about 50420.2539660403. The cubic root of 2542202010 is about 1364.8031596367.

Adding to 2542202010 its reverse (102022452), we get a palindrome (2644224462).

The spelling of 2542202010 in words is "two billion, five hundred forty-two million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 3138521 6277042 9415563 15692605 18831126 28246689 31385210 47077815 56493378 84740067 94155630 141233445 169480134 254220201 282466890 423700335 508440402 847400670 1271101005 2542202010