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2442160672 = 25738928027
BaseRepresentation
bin1001000110010000…
…0110101000100000
320022012100121122021
42101210012220200
520000143120142
61042155551224
7114343010650
oct22144065040
96265317567
102442160672
111043599506
12581a5b514
132cbc5aab3
141924b6360
15e4603267
hex91906a20

2442160672 has 48 divisors (see below), whose sum is σ = 5509183680. Its totient is φ = 1043912448.

The previous prime is 2442160667. The next prime is 2442160697. The reversal of 2442160672 is 2760612442.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73123 + ... + 101149.

It is an arithmetic number, because the mean of its divisors is an integer number (114774660).

Almost surely, 22442160672 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 2442160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754591840).

2442160672 is an abundant number, since it is smaller than the sum of its proper divisors (3067023008).

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

2442160672 is a wasteful number, since it uses less digits than its factorization.

2442160672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433 (or 28425 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2442160672 is about 49418.2220643357. Note that the first 3 decimals coincide. The cubic root of 2442160672 is about 1346.6603637693.

The spelling of 2442160672 in words is "two billion, four hundred forty-two million, one hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 778 1556 2723 3112 5446 6224 10892 12448 21784 28027 43568 56054 87136 112108 196189 224216 392378 448432 784756 896864 1569512 3139024 6278048 10902503 21805006 43610012 76317521 87220024 152635042 174440048 305270084 348880096 610540168 1221080336 2442160672