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2780280564 = 2231922753719
BaseRepresentation
bin1010010110110111…
…1011011011110100
321011202120212221020
42211231323123310
521143222434224
61135515021140
7125616665145
oct24555733364
97152525836
102780280564
1111a7439a36
1265713a7b0
13354014739
141c536dacc
15114141c79
hexa5b7b6f4

2780280564 has 48 divisors (see below), whose sum is σ = 6858969600. Its totient is φ = 874099296.

The previous prime is 2780280563. The next prime is 2780280611. The reversal of 2780280564 is 4650820872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780280563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24897 + ... + 78615.

It is an arithmetic number, because the mean of its divisors is an integer number (142895200).

Almost surely, 22780280564 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 2780280564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429484800).

2780280564 is an abundant number, since it is smaller than the sum of its proper divisors (4078689036).

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

2780280564 is a wasteful number, since it uses less digits than its factorization.

2780280564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53972 (or 53970 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2780280564 is about 52728.3658385124. The cubic root of 2780280564 is about 1406.1431684334.

The spelling of 2780280564 in words is "two billion, seven hundred eighty million, two hundred eighty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 227 228 454 681 908 1362 2724 4313 8626 12939 17252 25878 51756 53719 107438 161157 214876 322314 644628 1020661 2041322 3061983 4082644 6123966 12194213 12247932 24388426 36582639 48776852 73165278 146330556 231690047 463380094 695070141 926760188 1390140282 2780280564