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2042519985 = 3251113730119
BaseRepresentation
bin111100110111110…
…0110000110110001
312021100100202200100
41321233212012301
513140341114420
6534402143013
7101421063522
oct17157460661
95240322610
102042519985
11958a49550
12490051a69
13267213c0c
141553a6849
15be4b1190
hex79be61b1

2042519985 has 48 divisors (see below), whose sum is σ = 3890540160. Its totient is φ = 983051520.

The previous prime is 2042519953. The next prime is 2042519987. The reversal of 2042519985 is 5899152402.

It is a happy number.

2042519985 is a `hidden beast` number, since 2 + 0 + 42 + 519 + 98 + 5 = 666.

It is not a de Polignac number, because 2042519985 - 25 = 2042519953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2042519985.

It is not an unprimeable number, because it can be changed into a prime (2042519987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52756 + ... + 82874.

It is an arithmetic number, because the mean of its divisors is an integer number (81052920).

Almost surely, 22042519985 is an apocalyptic number.

It is an amenable number.

2042519985 is a deficient number, since it is larger than the sum of its proper divisors (1848020175).

2042519985 is a wasteful number, since it uses less digits than its factorization.

2042519985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30278 (or 30275 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2042519985 is about 45194.2472555966. The cubic root of 2042519985 is about 1268.7871499067.

The spelling of 2042519985 in words is "two billion, forty-two million, five hundred nineteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 137 165 411 495 685 1233 1507 2055 4521 6165 7535 13563 22605 30119 67815 90357 150595 271071 331309 451785 993927 1355355 1656545 2981781 4126303 4969635 12378909 14908905 20631515 37136727 45389333 61894545 136167999 185683635 226946665 408503997 680839995 2042519985