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2042578496 = 2677957713
BaseRepresentation
bin111100110111111…
…0100011001000000
312021100110201221102
41321233310121000
513140400002441
6534403313532
7101421426230
oct17157643100
95240421842
102042578496
11958a89502
1249007b8a8
1326723473a
141553bdcc0
15be4c369b
hex79bf4640

2042578496 has 56 divisors (see below), whose sum is σ = 4690993920. Its totient is φ = 864294912.

The previous prime is 2042578493. The next prime is 2042578507. The reversal of 2042578496 is 6948752402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2042578496.

It is not an unprimeable number, because it can be changed into a prime (2042578493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6536 + ... + 64248.

Almost surely, 22042578496 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 2042578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345496960).

2042578496 is an abundant number, since it is smaller than the sum of its proper divisors (2648415424).

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

2042578496 is an equidigital number, since it uses as much as digits as its factorization.

2042578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57811 (or 57801 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2042578496 is about 45194.8945789234. The cubic root of 2042578496 is about 1268.7992652180.

The spelling of 2042578496 in words is "two billion, forty-two million, five hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 8848 17696 35392 57713 115426 230852 403991 461704 807982 923408 1615964 1846816 3231928 3693632 4559327 6463856 9118654 12927712 18237308 25855424 31915289 36474616 63830578 72949232 127661156 145898464 255322312 291796928 510644624 1021289248 2042578496