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2042025210 = 2325171578501
BaseRepresentation
bin111100110110110…
…1101010011111010
312021022102121222100
41321231231103322
513140224301320
6534343404230
7101413633161
oct17155552372
95238377870
102042025210
11958740845
1248ba53676
1326709c954
141552b83d8
15be414790
hex79b6d4fa

2042025210 has 96 divisors (see below), whose sum is σ = 5658046992. Its totient is φ = 509184000.

The previous prime is 2042025199. The next prime is 2042025221. The reversal of 2042025210 is 125202402.

It is an interprime number because it is at equal distance from previous prime (2042025199) and next prime (2042025221).

It can be written as a sum of positive squares in 8 ways, for example, as 485012529 + 1557012681 = 22023^2 + 39459^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235960 + ... + 244460.

Almost surely, 22042025210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042025210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829023496).

2042025210 is an abundant number, since it is smaller than the sum of its proper divisors (3616021782).

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

2042025210 is a wasteful number, since it uses less digits than its factorization.

2042025210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8685 counting only the distinct ones).

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

The square root of 2042025210 is about 45188.7730526068. The cubic root of 2042025210 is about 1268.6846923440.

Adding to 2042025210 its reverse (125202402), we get a palindrome (2167227612).

The spelling of 2042025210 in words is "two billion, forty-two million, twenty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 157 170 255 306 314 471 510 765 785 942 1413 1530 1570 2355 2669 2826 4710 5338 7065 8007 8501 13345 14130 16014 17002 24021 25503 26690 40035 42505 48042 51006 76509 80070 85010 120105 127515 144517 153018 240210 255030 289034 382545 433551 722585 765090 867102 1300653 1334657 1445170 2167755 2601306 2669314 4003971 4335510 6503265 6673285 8007942 12011913 13006530 13346570 20019855 22689169 24023826 40039710 45378338 60059565 68067507 113445845 120119130 136135014 204202521 226891690 340337535 408405042 680675070 1021012605 2042025210