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2041881402 = 2311314323209
BaseRepresentation
bin111100110110100…
…1010001100111010
312021022011022201010
41321231022030322
513140210201102
6534340334350
7101412464001
oct17155121472
95238138633
102041881402
119586527a0
1248b9a43b6
1326704c362
1415527bc38
15be3d6d6c
hex79b4a33a

2041881402 has 64 divisors (see below), whose sum is σ = 4705873920. Its totient is φ = 584841600.

The previous prime is 2041881377. The next prime is 2041881409.

2041881402 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2041881402.

It is not an unprimeable number, because it can be changed into a prime (2041881409) by changing a digit.

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, 76374 + ... + 99582.

It is an arithmetic number, because the mean of its divisors is an integer number (73529280).

Almost surely, 22041881402 is an apocalyptic number.

2041881402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041881402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352936960).

2041881402 is an abundant number, since it is smaller than the sum of its proper divisors (2663992518).

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

2041881402 is a wasteful number, since it uses less digits than its factorization.

2041881402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23299.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2041881402 is about 45187.1818329048. The cubic root of 2041881402 is about 1268.6549096084.

The spelling of 2041881402 in words is "two billion, forty-one million, eight hundred eighty-one thousand, four hundred two".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 186 258 341 473 682 946 1023 1333 1419 2046 2666 2838 3999 7998 14663 23209 29326 43989 46418 69627 87978 139254 255299 510598 719479 765897 997987 1438958 1531794 1995974 2158437 2993961 4316874 5987922 7914269 10977857 15828538 21955714 23742807 30937597 32933571 47485614 61875194 65867142 92812791 185625582 340313567 680627134 1020940701 2041881402