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2054440410 = 2351146713331
BaseRepresentation
bin111101001110100…
…0100010111011010
312022011210101102120
41322131010113122
513201414043120
6535505442110
7101624312121
oct17235042732
95264711376
102054440410
11964750540
12494040336
13269828919
14156bcaab8
15c0568140
hex7a7445da

2054440410 has 64 divisors (see below), whose sum is σ = 5390820864. Its totient is φ = 496942400.

The previous prime is 2054440403. The next prime is 2054440439. The reversal of 2054440410 is 140444502.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 147445 + ... + 160775.

It is an arithmetic number, because the mean of its divisors is an integer number (84231576).

Almost surely, 22054440410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054440410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695410432).

2054440410 is an abundant number, since it is smaller than the sum of its proper divisors (3336380454).

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

2054440410 is a wasteful number, since it uses less digits than its factorization.

2054440410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2054440410 is about 45325.9352909568. The cubic root of 2054440410 is about 1271.2506352670.

Adding to 2054440410 its reverse (140444502), we get a palindrome (2194884912).

The spelling of 2054440410 in words is "two billion, fifty-four million, four hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 467 934 1401 2335 2802 4670 5137 7005 10274 13331 14010 15411 25685 26662 30822 39993 51370 66655 77055 79986 133310 146641 154110 199965 293282 399930 439923 733205 879846 1466410 2199615 4399230 6225577 12451154 18676731 31127885 37353462 62255770 68481347 93383655 136962694 186767310 205444041 342406735 410888082 684813470 1027220205 2054440410