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2541557316 = 2232344920509
BaseRepresentation
bin1001011101111101…
…0001011001000100
320120010101111012110
42113133101121010
520201114313231
61100110221020
7116660611044
oct22737213104
96503344173
102541557316
1110947086a1
125ab1b4770
1331671ca8c
141a178b724
15ed1d9046
hex977d1644

2541557316 has 48 divisors (see below), whose sum is σ = 6202224000. Its totient is φ = 808507392.

The previous prime is 2541557299. The next prime is 2541557371. The reversal of 2541557316 is 6137551452.

2541557316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113670 + ... + 134178.

It is an arithmetic number, because the mean of its divisors is an integer number (129213000).

Almost surely, 22541557316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541557316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101112000).

2541557316 is an abundant number, since it is smaller than the sum of its proper divisors (3660666684).

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

2541557316 is a wasteful number, since it uses less digits than its factorization.

2541557316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20986 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 2541557316 is about 50413.8603560568. The cubic root of 2541557316 is about 1364.6877800309.

The spelling of 2541557316 in words is "two billion, five hundred forty-one million, five hundred fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 449 898 1347 1796 2694 5388 10327 20509 20654 30981 41018 41308 61527 61962 82036 123054 123924 246108 471707 943414 1415121 1886828 2830242 5660484 9208541 18417082 27625623 36834164 55251246 110502492 211796443 423592886 635389329 847185772 1270778658 2541557316